Download or read book Conference on Algebraic Topology in Honor of Peter Hilton written by Peter Hilton and published by American Mathematical Soc.. This book was released on 1985 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which is the proceedings of a conference held at Memorial University of Newfoundland, August 1983, contains 18 papers in algebraic topology and homological algebra by collaborators and associates of Peter Hilton. It is dedicated to Hilton on the occasion of his 60th birthday. The various topics covered are homotopy theory, $H$-spaces, group cohomology, localization, classifying spaces, and Eckmann-Hilton duality. Students and researchers in algebraic topology will gain an appreciation for Hilton's impact upon mathematics from reading this book.
Download or read book Conference on Algebraic Topology in Honor of Peter Hilton written by Renzo A. Piccinini and published by . This book was released on 1985 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Topics written by Peter Hilton and published by Cambridge University Press. This book was released on 1983-09-08 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Peter Hilton is one of the best known mathematicians of his generation. He has published almost 300 books and papers on various aspects of topology and algebra. The present volume is to celebrate the occasion of his sixtieth birthday. It begins with a bibliography of his work, followed by reviews of his contributions to topology and algebra. These are followed by eleven research papers concerned with various topics of current interest in algebra and topology. The articles are contributed by some of the many mathematicians with whom he has worked at one time or another. This book will be of interest to both topologists and algebraists, particularly those concerned with homotopy theory.
Download or read book The Lefschetz Centennial Conference Part II Proceedings on Algebraic Topology written by and published by American Mathematical Soc.. This book was released on 1987 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic Topology written by Mark E. Mahowald and published by American Mathematical Soc.. This book was released on 1989 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will provide readers with an overview of some of the major developments in current research in algebraic topology. Representing some of the leading researchers in the field, the book contains the proceedings of the International Conference on Algebraic Topology, held at Northwestern University in March, 1988. Several of the lectures at the conference were expository and will therefore appeal to topologists in a broad range of areas. The primary emphasis of the book is on homotopy theory and its applications. The topics covered include elliptic cohomology, stable and unstable homotopy theory, classifying spaces, and equivariant homotopy and cohomology. Geometric topics--such as knot theory, divisors and configurations on surfaces, foliations, and Siegel spaces--are also discussed. Researchers wishing to follow current trends in algebraic topology will find this book a valuable resource.
Download or read book Algebraic Topology and Related Topics written by Mahender Singh and published by Springer. This book was released on 2019-02-02 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.
Download or read book The Lefschetz Centennial Conference Part I Proceedings on Algebraic Geometry written by D. Sundararaman and published by American Mathematical Soc.. This book was released on 1986 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains many of the papers in the area of algebraic geometry presented at the 1984 Solomon Lefschetz Centennial Conference held in Mexico City. This work also focuses on the areas of algebraic topology and differential equations where Lefschetz made significant contributions.
Download or read book Higher Homotopy Structures in Topology and Mathematical Physics written by James D. Stasheff and published by American Mathematical Soc.. This book was released on 1999 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on $H$-spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas.
Download or read book Geometric and Topological Invariants of Elliptic Operators written by Jerome Kaminker and published by American Mathematical Soc.. This book was released on 1990 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS-IMS-SIAM Summer Research Conference on ``Geometric and Topological Invariants of Elliptic Operators,'' held in August 1988 at Bowdoin College. Some of the themes covered at the conference and appearing in the articles are: the use of more sophisticated asymptotic methods to obtain index theorems, the study of the $\eta$ invariant and analytic torsion, and index theory on open manifolds and foliated manifolds. The current state of noncommutative differential geometry, as well as operator algebraic and $K$-theoretic methods, are also presented in several the articles. This book will be useful to researchers in index theory, operator algebras, foliations, and mathematical physics. Topologists and geometers are also likely to find useful the view the book provides of recent work in this area. In addition, because of the expository nature of several of the articles, it will be useful to graduate students interested in working in these areas.
Download or read book Algebraic Geometry Sundance 1988 written by Brian Harbourne and published by American Mathematical Soc.. This book was released on 1991 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the NSF-CBMS Regional Conference on Algebraic Geometry, held in Sundance, Utah in July 1988. The conference focused on algebraic curves and related varieties. Some of the papers collected here represent lectures delivered at the conference, some report on research done during the conference, while others describe related work carried out elsewhere.
Download or read book Partition Problems in Topology written by Stevo Todorcevic and published by American Mathematical Soc.. This book was released on 1989 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents results on the case of the Ramsey problem for the uncountable: When does a partition of a square of an uncountable set have an uncountable homogeneous set? This problem most frequently appears in areas of general topology, measure theory, and functional analysis. Building on his solution of one of the two most basic partition problems in general topology, the ``S-space problem,'' the author has unified most of the existing results on the subject and made many improvements and simplifications. The first eight sections of the book require basic knowldege of naive set theory at the level of a first year graduate or advanced undergraduate student. The book may also be of interest to the exclusively set-theoretic reader, for it provides an excellent introduction to the subject of forcing axioms of set theory, such as Martin's axiom and the Proper forcing axiom.
Download or read book Classical Groups and Related Topics written by Alexander Hahn and published by American Mathematical Soc.. This book was released on 1989 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems. To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.
Download or read book Representation Theory Group Rings and Coding Theory written by M. Isaacs and published by American Mathematical Soc.. This book was released on 1989 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the memory of the Soviet mathematician S D Berman (1922-1987), this work covers topics including Berman's achievements in coding theory, including his pioneering work on abelian codes and his results on the theory of threshold functions.
Download or read book Infinite Algebraic Extensions of Finite Fields written by Joel V. Brawley and published by American Mathematical Soc.. This book was released on 1989 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last several decades there has been a renewed interest in finite field theory, partly as a result of important applications in a number of diverse areas such as electronic communications, coding theory, combinatorics, designs, finite geometries, cryptography, and other portions of discrete mathematics. In addition, a number of recent books have been devoted to the subject. Despite the resurgence in interest, it is not widely known that many results concerning finite fields have natural generalizations to abritrary algebraic extensions of finite fields. The purpose of this book is to describe these generalizations. After an introductory chapter surveying pertinent results about finite fields, the book describes the lattice structure of fields between the finite field $GF(q)$ and its algebraic closure $\Gamma (q)$. The authors introduce a notion, due to Steinitz, of an extended positive integer $N$ which includes each ordinary positive integer $n$ as a special case. With the aid of these Steinitz numbers, the algebraic extensions of $GF(q)$ are represented by symbols of the form $GF(q^N)$. When $N$ is an ordinary integer $n$, this notation agrees with the usual notation $GF(q^n)$ for a dimension $n$ extension of $GF(q)$. The authors then show that many of the finite field results concerning $GF(q^n)$ are also true for $GF(q^N)$. One chapter is devoted to giving explicit algorithms for computing in several of the infinite fields $GF(q^N)$ using the notion of an explicit basis for $GF(q^N)$ over $GF(q)$. Another chapter considers polynomials and polynomial-like functions on $GF(q^N)$ and contains a description of several classes of permutation polynomials, including the $q$-polynomials and the Dickson polynomials. Also included is a brief chapter describing two of many potential applications. Aimed at the level of a beginning graduate student or advanced undergraduate, this book could serve well as a supplementary text for a course in finite field theory.
Download or read book Algebraic K theory and Algebraic Number Theory written by Michael R. Stein and published by American Mathematical Soc.. This book was released on 1989 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a seminar on Algebraic $K$-theory and Algebraic Number Theory, held at the East-West Center in Honolulu in January 1987. The seminar, which hosted nearly 40 experts from the U.S. and Japan, was motivated by the wide range of connections between the two topics, as exemplified in the work of Merkurjev, Suslin, Beilinson, Bloch, Ramakrishnan, Kato, Saito, Lichtenbaum, Thomason, and Ihara. As is evident from the diversity of topics represented in these proceedings, the seminar provided an opportunity for mathematicians from both areas to initiate further interactions between these two areas.
Download or read book The Lefschetz Centennial Conference written by D. Sundararaman and published by American Mathematical Soc.. This book was released on 1986 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: A three-volume series of proceedings of the Solomon Lefschetz Centennial Conference, held in 1984 in Mexico City to celebrate Lefschetz's 100th birthday. The conference focused on three main areas of Lefschetz's research: algebraic geometry, algebraic topology, and differential geometry.
Download or read book Index Theory of Elliptic Operators Foliations and Operator Algebras written by Jerome Kaminker and published by American Mathematical Soc.. This book was released on 1988 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining analysis, geometry, and topology, this volume provides an introduction to current ideas involving the application of $K$-theory of operator algebras to index theory and geometry. In particular, the articles follow two main themes: the use of operator algebras to reflect properties of geometric objects and the application of index theory in settings where the relevant elliptic operators are invertible modulo a $C^*$-algebra other than that of the compact operators. The papers in this collection are the proceedings of the special sessions held at two AMS meetings: the Annual meeting in New Orleans in January 1986, and the Central Section meeting in April 1986. Jonathan Rosenberg's exposition supplies the best available introduction to Kasparov's $KK$-theory and its applications to representation theory and geometry. A striking application of these ideas is found in Thierry Fack's paper, which provides a complete and detailed proof of the Novikov Conjecture for fundamental groups of manifolds of non-positive curvature. Some of the papers involve Connes' foliation algebra and its $K$-theory, while others examine $C^*$-algebras associated to groups and group actions on spaces.
