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arxiv: 1506.02851 · v2 · pith:SCYCNP2Rnew · submitted 2015-06-09 · 🧮 math.AT · math.CT

Brown categories and bicategories

classification 🧮 math.AT math.CT
keywords browncategorylocalizationspacesassemblebicategoriescategoriescofibrant
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In a Brown category of cofibrant objects, there is a model for the mapping spaces of the hammock localization in terms of zig-zags of length 2. In this paper we show how to assemble these spaces into a Segal category that models the infinity-categorical localization of the Brown category.

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