Download or read book Literature on Lusternik Schnirelmann Category written by Dorin Andrica and published by . This book was released on 1993 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Literature on Lusternik Schnirelmann category written by D. Andrica and published by . This book was released on 1993 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lusternik Schnirelmann Category written by Octavian Cornea and published by American Mathematical Soc.. This book was released on 2003 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: ''Lusternik-Schnirelmann category is like a Picasso painting. Looking at category from different perspectives produces completely different impressions of category's beauty and applicability.'' --from the Introduction Lusternik-Schnirelmann category is a subject with ties to both algebraic topology and dynamical systems. The authors take LS-category as the central theme, and then develop topics in topology and dynamics around it. Included are exercises and many examples. The book presents the material in a rich, expository style. The book provides a unified approach to LS-category, including foundational material on homotopy theoretic aspects, the Lusternik-Schnirelmann theorem on critical points, and more advanced topics such as Hopf invariants, the construction of functions with few critical points, connections with symplectic geometry, the complexity of algorithms, and category of $3$-manifolds. This is the first book to synthesize these topics. It takes readers from the very basics of the subject to the state of the art. Prerequisites are few: two semesters of algebraic topology and, perhaps, differential topology. It is suitable for graduate students and researchers interested
Download or read book Lusternik Schnirelmann Category and Related Topics written by Octavian Cornea and published by American Mathematical Soc.. This book was released on 2002 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection is the proceedings volume for the AMS-IMS-SIAM Joint Summer Research Conference, Lusternik-Schnirelmann Category, held in 2001 at Mount Holyoke College in Massachusetts. The conference attracted an international group of 37 participants that included many leading experts. The contributions included here represent some of the field's most able practitioners. With a surge of recent activity, exciting advances have been made in this field, including the resolution of several long-standing conjectures. Lusternik-Schnirelmann category is a numerical homotopy invariant that also provides a lower bound for the number of critical points of a smooth function on a manifold. The study of this invariant, together with related notions, forms a subject lying on the boundary between homotopy theory and critical point theory. These articles cover a wide range of topics: from a focus on concrete computations and applications to more abstract extensions of the fundamental ideas. The volume includes a survey article by P. Hilton that discusses earlier results from homotopy theory that form the basis for more recent work in this area. In this volume, professional mathematicians in topology and dynamical systems as well as graduate students will catch glimpses of the most recent views of the subject.
Download or read book On the Lusternik Schnirelmann Category written by Ralph Hartzler Fox and published by . This book was released on 1939 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Lusternik schnirelmann Category and Genus written by Hanxuan Che and published by . This book was released on 1988 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lusternik Schnirelmann Category written by Octav (Universit De Montreal Cornea and published by American Mathematical Society(RI). This book was released on 2014-05-21 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: ''Lusternik-Schnirelmann category is like a Picasso painting. Looking at category from different perspectives produces completely different impressions of category's beauty and applicability.'' --from the Introduction Lusternik-Schnirelmann category is a subject with ties to both algebraic topology and dynamical systems. The authors take LS-category as the central theme, and then develop topics in topology and dynamics around it. Included are exercises and many examples. The book presents the material in a rich, expository style. The book provides a unified approach to LS-category, including foundational material on homotopy theoretic aspects, the Lusternik-Schnirelmann theorem on critical points, and more advanced topics such as Hopf invariants, the construction of functions with few critical points, connections with symplectic geometry, the complexity of algorithms, and category of $3$-manifolds. This is the first book to synthesize these topics. It takes readers from the very basics of the subject to the state of the art. Prerequisites are few: two semesters of algebraic topology and, perhaps, differential topology. It is suitable for graduate students and researchers interested
Download or read book On Lusternik Schnirelmann Category of Connected Sums written by Robert J. Newton and published by . This book was released on 2013 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation uses techniques from algebraic topology to place bounds on the Lusternik-Schnirelmann category of a quotient space with sufficient conditions. The first chapter contains a quick summary on the origins of the theory and some mention on current activity within the field. The second chapter provides the definitions and constructions used in this study. There will be examples of the Lusternik-Schnirelmann category for some basic spaces. The techniques from algebraic topology that are used will be discussed here. The chapter concludes with some integration of the algebera and topology. In the third chapter we get to the main ideas in this dissertation. We prove the main theorem and describe some very quick results that follow from the theorem. The dissertation concludes with ideas for future work.
Download or read book A method in Lusternik Schnirelmann Category written by Norio Iwase and published by . This book was released on 2000 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lusternik Schnirelmann Category written by Octavian Cornea and published by American Mathematical Soc.. This book was released on with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lusternik-Schnirelmann category is a subject with ties to both algebraic topology and dynamical systems. This book provides a unified approach to LS-category, including foundational material on homotopy theoretic aspects of the subject, the Lusternik-Schnirelmann theorem on critical points and more advanced topics such as Hopf invariants, the construction of functions with few critical points, connections with symplectic geometry, the complexity of algorithms and category of 3-manifolds. This is the first book which takes LS-category as its central theme and develops topics in topology and dynamics around it. As such, it leads from the very basics of the subject to the present-day state of the art. The prerequisites for reading the book are few: two semesters of algebraic topology and, perhaps, differential topology.
Download or read book Lusternik Schnirelmann Category of Classifying Spaces written by J.-B. Gatsinzi and published by . This book was released on 1999 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Equivariant Lusternik Schnirelmann Category written by Edmund Shaw and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cone length and Lusternik Schnirelmann Category written by Octavian Cornea and published by . This book was released on 1993 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Simplicial Lusternik Schnirelmann Category written by and published by . This book was released on 2015 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Lusternik Schnirelmann Category of Topological Spaces written by Birte Marie Mesoy and published by . This book was released on 1988 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Functional Analysis and Related Fields written by F. E. Browder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: On May 20-24. 1968, a Conference on Functional Analysis and Related Fields was held at the Center for Continuing Education of the University cl Chicago in honor of ProfessoLMARSHALL HARVEY STONE on the occasion of his retirement from active service at the University. The Conference received support from the Air Force Office of Scientific Research under the Grant AFOSR 68-1497. The Organizing committee for this Conference consisted of ALBERTO P. CALDERON, SAUNDERS MACLANE, ROBERT G. POHRER, and FELIX E. BROWDER (Chairman). The present volume contains some of the papers presented at the Conference. nther talks which were presented at the Conference for which papers are noLinduded hereare: K. CHANDRASEKHARAN, "Zeta functions of quadratic fields"; J. L. DooB, "An application of prob ability theory to the Choquet boundary" ; HALMOS, "Irreducible operators"; P. R. KADISON, "Strong continuity of operator functions"; L. NIRENBERG, "Intrinsic norms on complex manifolds"; D. SCOTT, "Some problems and recent results in Boolean algebras"; 1. M. SINGER, "A conjecture relating the Reidemeister torsion and the zeta function of the Laplacian". A banquet in honor of Professor STONE was held during the Con ference, with brief talks by S. S. CHERN, A. A. ALBERT, S. MACLANE, E. HEWITT, K. CHANDRASEKHARAN, and F. E. BROWDER (as Toast master), as weH as a response by Professor STONE.
Download or read book Lusternik Schnirelmann Category and Simplicial Sets written by Aaron Montgomery and published by . This book was released on 1997 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
