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Categorical Framework for the Study of Singular Spaces
Language: en
Pages: 174
Authors: William Fulton
Categories: Categories
Type: BOOK - Published: 1981 - Publisher: American Mathematical Soc.

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In several areas of geometry and topology it has become apparent that the traditional covariant and contravariant functors are insufficient, particularly for de
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
Singular Intersection Homology
Language: en
Pages: 824
Authors: Greg Friedman
Categories: Mathematics
Type: BOOK - Published: 2020-09-24 - Publisher: Cambridge University Press

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Intersection homology is a version of homology theory that extends Poincaré duality and its applications to stratified spaces, such as singular varieties. This
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.
Mapping Class Groups and Moduli Spaces of Riemann Surfaces
Language: en
Pages: 394
Authors: Carl-Friedrich Bödigheimer
Categories: Mathematics
Type: BOOK - Published: 1993 - Publisher: American Mathematical Soc.

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The study of mapping class groups and moduli spaces of compact Riemann surfaces is currently a central topic in topology, algebraic geometry, and conformal fiel
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