New York Journal of Mathematics
Volume 21 (2015) 333-338

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Benjamin Branman, Igor Kriz, and Ales Pultr

A sequence of inclusions whose colimit is not a homotopy colimit

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Published: May 16, 2015
Keywords: Homotopy colimit, T1 spaces
Subject: 57M25, 57M27, 57R58
Abstract
It is known that the homotopy colimit of a sequence of inclusions of T1 spaces is weakly equivalent with the actual colimit. We show that the assumption of T1 is essential by providing a counterexample for non-T1 spaces.
Acknowledgements

The first author was supported by NSF REU. The second author was supported by NSF grant DMS 1104348. The third author was supported by CE-ITI, GACR 202/12/6061
Author information

Benjamin Branman:
Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109-1043, U.S.A.
bbranman@umich.edu

Igor Kriz:
Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109-1043, U.S.A.
ikriz@umich.edu

Ales Pultr:
KAM, MFF Charles University, Malostranske nam.25, 11800 Praha 1, Czech Republic
pultr@kam.mff.cuni.cz