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arXiv · 1311.2219

The poset of posets

Serge Bouc
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Abstract

Let X be a finite set. This paper describes some topological and combinatorial properties of the poset Ω_X of order relations on X. In particular, the homotopy type of all the intervals in Ω_X is precisely determined, and the Möbius function of Ω_X is computed.

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Serge Bouc. 2013-11-09. The poset of posets. https://arxiv.org/abs/1311.2219

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