Detecting isomorphisms in the homotopy category

17 Feb 2020 Arlin Kevin Christensen J. Daniel

We show that the homotopy category of unpointed spaces admits no set of objects jointly reflecting isomorphisms by giving an explicit counterexample involving large symmetric groups. We also show that, in contrast, the spheres jointly reflect equivalences in the homotopy 2-category of spaces... (read more)

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Categories


  • ALGEBRAIC TOPOLOGY
  • CATEGORY THEORY