Topology Proceedings 30 No. 1 (2006), pp. 187-195

Topological Fundamental Groups Can Distinguish Spaces with Isomorphic Homotopy Groups

Paul Fabel

There is a natural functor p₁^top which imparts a topology on the based fundamental group of a space X. We exhibit examples in which p₁^top succeeds in distinguishing the homotopy of the spaces X and Y when such tools as the Whitehead theorem and shape theory are unsuccessful.

Keywords: shape group, Whitehead theorem

Mathematics Subject Classification: Primary 55Q52

Document formats: PDF file 177.7 Kb

Topology Proceedings, Volume 30, No. 1 (2006)
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