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math.AT2019★ 1 cited
Detecting isomorphisms in the homotopy category
Kevin Arlin, J. Daniel Christensen
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 group…
math.AT2018★ 1 cited
On Whitehead's theorem beyond pointed connected spaces
Kevin Arlin
We prove that the 2-category of spaces admits a strong generator made up of the tori. In other words, Whitehead's theorem holds for the 2-category of (not necessarily connected, no…