shape theory the inverse system approach

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Shape Theory

Author : S. Mardešic
ISBN : 9780080960142
Genre : Mathematics
File Size : 25. 37 MB
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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.

Shape Theory

Author : J. Dydak
ISBN : 9783540356844
Genre : Mathematics
File Size : 28. 25 MB
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Strong Shape And Homology

Author : Sibe Mardesic
ISBN : 9783662130643
Genre : Mathematics
File Size : 70. 85 MB
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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."

Glasnik Matemati Ki

Author :
ISBN : UOM:39015036964875
Genre : Mathematics
File Size : 34. 17 MB
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Shape Theory And Geometric Topology

Author : S. Mardesic
ISBN : 9783540387497
Genre : Mathematics
File Size : 65. 55 MB
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Progress In Mathematical Biology Research

Author : James Terrence Kelly
ISBN : 1604561718
Genre : Science
File Size : 85. 28 MB
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Applying mathematics to biology has a long history, but only recently has there been an explosion of interest in the field. Some reasons for this include: the explosion of data-rich information sets, due to the genomics revolution, which are difficult to understand without the use of analytical tools, recent development of mathematical tools such as chaos theory to help understand complex, non-linear mechanisms in biology, an increase in computing power which enables calculations and simulations to be performed that were not previously possible, and an increasing interest in in-silico experimentation due to the complications involved in human and animal research. This new book presents the latest leading-edge research in the field.

Shape Theory

Author : J. M. Cordier
ISBN : 9780486783475
Genre : Science
File Size : 37. 81 MB
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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.

History Of Topology

Author : I.M. James
ISBN : 0080534074
Genre : Mathematics
File Size : 40. 74 MB
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Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards. As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.

S Ri Kagaku K Ky Roku

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ISBN : UOM:39015059054497
Genre : Mathematics
File Size : 76. 54 MB
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Proceedings Of The International Conference On Geometric Topology Warszawa August 24 September 2 1978

Author : Instytut Matematyczny (Polska Akademia Nauk)
ISBN : UOM:39015015619094
Genre : Mathematics
File Size : 89. 83 MB
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