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arxiv: 1203.5348 · v1 · pith:FJAIRVOInew · submitted 2012-03-23 · 🧮 math.AT

A new approach to Whitehead's asphericity question

classification 🧮 math.AT
keywords asphericityfiniteinvestigatequestionspaceswhiteheadapproachcombinatorics
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We investigate Whitehead's asphericity question from a new perspective, using results and techniques of the homotopy theory of finite topological spaces. We also introduce a method of reduction to investigate asphericity based on the interaction between the combinatorics and the topology of finite spaces.

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