Cech and Steenrod Homotopy Theories with Applications to Geometric Topology
Author: D. A. Edwards
Publisher: Springer
Published: 2006-11-14
Total Pages: 303
ISBN-13: 3540381031
DOWNLOAD EBOOK →Author: D. A. Edwards
Publisher: Springer
Published: 2006-11-14
Total Pages: 303
ISBN-13: 3540381031
DOWNLOAD EBOOK →Author: D. A. Edwards
Publisher:
Published: 2014-01-15
Total Pages: 308
ISBN-13: 9783662183755
DOWNLOAD EBOOK →Author: David A. Edwards
Publisher:
Published: 1976
Total Pages: 296
ISBN-13: 9780387078632
DOWNLOAD EBOOK →Author: Gregory Arone
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 304
ISBN-13: 303487863X
DOWNLOAD EBOOK →The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is intended primarily for researchers and graduate students working in the field of algebraic topology. Included is an important article by Cohen, Johnes and Yan on the homology of the space of smooth loops on a manifold M, endowed with the Chas-Sullivan intersection product, as well as an article by Goerss, Henn and Mahowald on stable homotopy groups of spheres, which uses the cutting edge technology of "topological modular forms".
Author: R. James Milgram
Publisher: American Mathematical Soc.
Published: 1978
Total Pages: 422
ISBN-13: 082181432X
DOWNLOAD EBOOK →Contains sections on Algebraic $K$- and $L$-theory, Surgery and its applications, Group actions.
Author: James C. Cantrell
Publisher: Elsevier
Published: 2014-05-10
Total Pages: 713
ISBN-13: 1483271315
DOWNLOAD EBOOK →Geometric Topology contains the proceedings of the 1977 Georgia Topology Conference, held at the University of Georgia on August 1977. The book is comprised of contributions from leading experts in the field of geometric topology.These contributions are grouped into four sections: low dimensional manifolds, topology of manifolds, shape theory and infinite dimensional topology, and miscellaneous problems. Subjects discussed under these sections include local spanning missing loops, the structure of generalized manifolds having nonmanifold set of trivial dimension, universal open principal fibrations, and how to build a flexible polyhedral surface. Topologists, geometers, and mathematicians will find the book very interesting and insightful.
Author: S. Mardešic
Publisher: Elsevier
Published: 1982-01-01
Total Pages: 395
ISBN-13: 0080960146
DOWNLOAD EBOOK →North-Holland Mathematical Library, Volume 26: Shape Theory: The Inverse System Approach presents a systematic introduction to shape theory by providing background materials, motivation, and examples, including shape theory and invariants, pro-groups, shape fibrations, and metric compacta. The publication first ponders on the foundations of shape theory and shape invariants. Discussions focus on the stability and movability of spaces, homotopy and homology pro-groups, shape dimension, inverse limits and shape of compacta, topological shape, and absolute neighborhood retracts. The text then takes a look at a survey of selected topics, including basic topological constructions and shape, shape dimension of metric compacta, complement theorems of shape theory, shape fibrations, and cell-like maps. The text ponders on polyhedra and Borsuk's approach to shape. Topics include shape category of metric compacta and metric pairs, homotopy type of polyhedra, and topology of simplicial complexes. The publication is a valuable source of data for researchers interested in the inverse system approach.
Author: Sibe Mardesic
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 487
ISBN-13: 3662130645
DOWNLOAD EBOOK →Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: "If we need a book in the field, this is it! It is thorough, careful and complete."
Author: C.E. Aull
Publisher: Springer Science & Business Media
Published: 2013-04-18
Total Pages: 418
ISBN-13: 9401704708
DOWNLOAD EBOOK →This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.
Author: J. M. Cordier
Publisher: Courier Corporation
Published: 2013-12-01
Total Pages: 212
ISBN-13: 0486783472
DOWNLOAD EBOOK →This in-depth treatment uses shape theory as a "case study" to illustrate situations common to many areas of mathematics, including the use of archetypal models as a basis for systems of approximations. It offers students a unified and consolidated presentation of extensive research from category theory, shape theory, and the study of topological algebras. A short introduction to geometric shape explains specifics of the construction of the shape category and relates it to an abstract definition of shape theory. Upon returning to the geometric base, the text considers simplical complexes and numerable covers, in addition to Morita's form of shape theory. Subsequent chapters explore Bénabou's theory of distributors, the theory of exact squares, Kan extensions, the notion of a stable object, and stability in an Abelian context. The text concludes with a brief description of derived functors of the limit functor theory—the concept that leads to movability and strong movability of systems—and illustrations of the equivalence of strong movability and stability in many contexts.