Eilenberg-MacLane spaces and stabilisation in homotopy type theory

01/09/2023

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by   David Wärn, et al.

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In this note, we study the delooping of spaces and maps in homotopy type theory. We show that in some cases, spaces have a unique delooping, and give a simple description of the delooping in these cases. We explain why some maps, such as group homomorphisms, have a unique delooping. We discuss some applications to Eilenberg-MacLane spaces and cohomology.