A sequence of inclusions whose colimit is not a homotopy colimit

Abstrakt

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.

Klíčová slova

• Homotopy colimit
• T1 spaces