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Book Involutions on Manifolds

    Book Details:
  • Author : Santiago Lopez de Medrano
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 3642650120
  • Pages : 114 pages

Download or read book Involutions on Manifolds written by Santiago Lopez de Medrano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the results of work done during the years 1967-1970 on fixed-point-free involutions on manifolds, and is an enlarged version of the author's doctoral dissertation [54J written under the direction of Professor William Browder. The subject of fixed-paint-free involutions, as part of the subject of group actions on manifolds, has been an important source of problems, examples and ideas in topology for the last four decades, and receives renewed attention every time a new technical development suggests new questions and methods ([62, 8, 24, 63J). Here we consider mainly those properties of fixed-point-free involutions that can be best studied using the techniques of surgery on manifolds. This approach to the subject was initiated by Browder and Livesay. Special attention is given here to involutions of homotopy spheres, but even for this particular case, a more general theory is very useful. Two important related topics that we do not touch here are those of involutions with fixed points, and the relationship between fixed-point-free involutions and free Sl-actions. For these topics, the reader is referred to [23J, and to [33J, [61J, [82J, respectively. The two main problems we attack are those of classification of involutions, and the existence and uniqueness of invariant submanifolds with certain properties. As will be seen, these problems are closely related. If (T, l'n) is a fixed-point-free involution of a homotopy sphere l'n, the quotient l'n/Tis called a homotopy projective space.

Book Involutions on Manifolds

Download or read book Involutions on Manifolds written by Ellen Rose Stone and published by . This book was released on 1972 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Ergebnisse der Mathematik und ihrer Grenzgebiete

Download or read book Ergebnisse der Mathematik und ihrer Grenzgebiete written by Santiago López de Medrano and published by . This book was released on 195? with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Differentiable Involutions

Download or read book Differentiable Involutions written by Pierre E. Conner and published by . This book was released on 1960 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Four Manifold Theory

    Book Details:
  • Author : Cameron Gordon
  • Publisher : American Mathematical Soc.
  • Release : 1984
  • ISBN : 0821850334
  • Pages : 538 pages

Download or read book Four Manifold Theory written by Cameron Gordon and published by American Mathematical Soc.. This book was released on 1984 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the proceedings of the Summer Research Conference on 4-manifolds held at Durham, New Hampshire, July 1982, under the auspices of the American Mathematical Society and National Science Foundation.

Book Involutions on Grassman Manifolds

Download or read book Involutions on Grassman Manifolds written by Allen Henry Back and published by . This book was released on 1977 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book PL Involutions of Some 3 manifolds

Download or read book PL Involutions of Some 3 manifolds written by Myung Mi Myung and published by . This book was released on 1970 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Classical Tessellations and Three Manifolds

Download or read book Classical Tessellations and Three Manifolds written by José María Montesinos-Amilibia 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: This unusual book, richly illustrated with 29 colour illustrations and about 200 line drawings, explores the relationship between classical tessellations and three-manifolds. In his original and entertaining style, the author provides graduate students with a source of geometrical insight into low-dimensional topology. Researchers in this field will find here an account of a theory that is on the one hand known to them but here is "clothed in a different garb" and can be used as a source for seminars on low-dimensional topology, or for preparing independent study projects for students, or again as the basis of a reading course.

Book Group Actions on Manifolds

Download or read book Group Actions on Manifolds written by Reinhard Schultz and published by American Mathematical Soc.. This book was released on 1985 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado.

Book Knot Theory and Manifolds

Download or read book Knot Theory and Manifolds written by Dale Rolfsen and published by Springer. This book was released on 2006-11-14 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book PL Involutions on Lens Spaces and Other 3 manifolds

Download or read book PL Involutions on Lens Spaces and Other 3 manifolds written by Paik Kee Kim and published by . This book was released on 1973 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Algebraic Topology  Aarhus 1978

Download or read book Algebraic Topology Aarhus 1978 written by J. L. Dupont and published by Springer. This book was released on 2006-11-15 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: University of Aarhus, 50. Anniversary, 11 September 1978

Book Current Trends in Transformation Groups

Download or read book Current Trends in Transformation Groups written by Anthony Bak and published by Springer Science & Business Media. This book was released on 2002-07-31 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role. The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in these accounts.

Book Classical Analysis   Proceedings Of 6th Symposium

Download or read book Classical Analysis Proceedings Of 6th Symposium written by T Mazur and published by World Scientific. This book was released on 1992-04-14 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the results and problems in several complex variables especially L2-methods, Riemannian and Hermitian geometry, spectral theory in Hilbert space, probability and applications in mathematical physics. Particular consideration is given to the interrelation of ideas from different areas.

Book Seifert Fibered Spaces in 3 Manifolds

Download or read book Seifert Fibered Spaces in 3 Manifolds written by William H. Jaco and published by American Mathematical Soc.. This book was released on 1979 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theorem of this monograph, or rather the "absolute" case of the main theorem, provides what is essentially a homotopy-classification of suitably "nondegenerate" maps of Seifert-fibered 3-manifolds into a sufficiently-large, compact, irreducible, orientable 3-manifold M.

Book Algebraic and Geometric Topology

Download or read book Algebraic and Geometric Topology written by Kenneth C. Millett and published by Springer. This book was released on 2006-11-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: