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Homotopy colimits – comparison lemmas for combinatorial applications
-
Volkmar Welker
,
Günter M Ziegler
Published/Copyright:
June 11, 2008
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
Björner's “Generalized Homotopy Complementation Formula” [5],
the topology of toric varieties,
the study of homotopy types of arrangements of subspaces,
the analysis of homotopy types of subgroup complexes.
Received: 1995-04-05
Accepted: 1998-07-01
Published Online: 2008-06-11
Published in Print: 1999-04-12
© Walter de Gruyter
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- Castelnuovo-Mumford regularity bound for smooth threefolds in ℙ5 and extremal examples
- Generalized Bessel functions on symmetric spaces
- Some exact formulas on quaternion unitary groups
- A note on joint analyticity
- Homotopy colimits – comparison lemmas for combinatorial applications
- Rationality of moduli spaces of vector bundles on Hirzebruch surfaces
- Representations of compact quantum groups and subfactors
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Articles in the same Issue
- Newton polytopes and non-degeneracy
- Castelnuovo-Mumford regularity bound for smooth threefolds in ℙ5 and extremal examples
- Generalized Bessel functions on symmetric spaces
- Some exact formulas on quaternion unitary groups
- A note on joint analyticity
- Homotopy colimits – comparison lemmas for combinatorial applications
- Rationality of moduli spaces of vector bundles on Hirzebruch surfaces
- Representations of compact quantum groups and subfactors
- A local-to-global principle for deformations of Galois representations
