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Topological Invariants of Stratified Spaces
Language: en
Pages: 266
Authors: Markus Banagl
Categories: Mathematics
Type: BOOK - Published: 2007-02-16 - Publisher: Springer Science & Business Media

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The central theme of this book is the restoration of Poincaré duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical
Topology of Stratified Spaces
Language: en
Pages: 491
Authors: Greg Friedman
Categories: Mathematics
Type: BOOK - Published: 2011-03-28 - Publisher: Cambridge University Press

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This book explores the study of singular spaces using techniques from areas within geometry and topology and the interactions among them.
Topology of Singular Spaces and Constructible Sheaves
Language: en
Pages: 461
Authors: Jörg Schürmann
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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This volume is based on the lecture notes of six courses delivered at a Cimpa Summer School in Temuco, Chile, in January 2001. Leading experts contribute with i
Stratified Morse Theory
Language: en
Pages: 279
Authors: Mark Goresky
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Due to the lack of proper bibliographical sources stratification theory seems to be a "mysterious" subject in contemporary mathematics. This book contains a com
The Topological Classification of Stratified Spaces
Language: en
Pages: 308
Authors: Shmuel Weinberger
Categories: Mathematics
Type: BOOK - Published: 1994 - Publisher: University of Chicago Press

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This book provides the theory for stratified spaces, along with important examples and applications, that is analogous to the surgery theory for manifolds. In t