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arXiv:1311.2219 [math.AT]AbstractReferencesReviewsResources

The poset of posets

Serge Bouc

Published 2013-11-09Version 1

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

Categories: math.AT, math.CO, math.GR
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