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Synthetic approach to the Quillen model structure on topological spaces
Published 22 Oct 2023 in math.AT and math.CT | (2310.14235v1)
Abstract: We provide an axiomatic treatment of Quillen's construction of the model structure on topological spaces to make it applicable to a wider range of settings, including $\Delta$-generated spaces and pseudotopological spaces. We use this axiomatization to construct a model structure on the category of locales.
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