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arXiv · 2301.03685

Eilenberg-MacLane spaces and stabilisation in homotopy type theory

David Wärn
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Abstract

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.

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David Wärn. 2023-01-09. Eilenberg-MacLane spaces and stabilisation in homotopy type theory. https://doi.org/10.1007/s40062-023-00330-5

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