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arxiv: 1403.0881 · v1 · pith:3PKQQGRWnew · submitted 2014-03-04 · 🧮 math.AT · math.CO· math.GT

Homology of non-k-overlapping discs

classification 🧮 math.AT math.COmath.GT
keywords discsnon-homologyoverlappingalgebraicbimodulesbrieflycohomology
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In this paper we describe the homology and cohomology of some natural bimodules over the little discs operad, whose components are configurations of non-$k$-overlapping discs. At the end we briefly explain how this algebraic structure intervenes in the study of spaces of non-$k$-equal immersions.

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