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Main Title: Homotopy colimits – comparison lemmas for combinatorial applications
Author(s): Welker, Volkmar
Ziegler, Günter M.
Živaljević, Rade T.
Type: Article
Language Code: en
Abstract: We provide a “toolkit” of basic lemmas for the comparison of homotopy types of homotopy colimits of diagrams of spaces over small categories. We show how this toolkit can be used in quite different fields of applications. We demonstrate this with respect to 1. Björner's “Generalized Homotopy Complementation Formula” [5], 2. the topology of toric varieties, 3. the study of homotopy types of arrangements of subspaces, 4. the analysis of homotopy types of subgroup complexes.
Issue Date: 1999
Date Available: 9-Nov-2018
DDC Class: 510 Mathematik
Journal Title: Journal für die reine und angewandte Mathematik
Publisher: De Gruyter
Publisher Place: Berlin
Issue: 509
Publisher DOI: 10.1515/crll.1999.509.117
Page Start: 117
Page End: 149
EISSN: 1435-5345
ISSN: 0075-4102
Notes: Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
Appears in Collections:Inst. Mathematik » Publications

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