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arXiv · 1409.8062

Revisiting function complexes and simplicial localisation

Zhen Lin Low
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Abstract

In this paper three results are established: firstly, that the homotopy function complexes of Dwyer and Kan can be defined as certain total right derived functors; secondly, that they functorially compute the homotopy type of the hom-spaces in the simplicial localisation; and thirdly, that they can be computed by fibrant replacements in a suitable left Bousfield localisation of the projective model structure on simplicial presheaves.

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Zhen Lin Low. 2014-09-29. Revisiting function complexes and simplicial localisation. https://arxiv.org/abs/1409.8062

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