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arXiv.org e-Print Archive
Preprint . 2013
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2013
License: arXiv Non-Exclusive Distribution
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The poset of posets

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2013Embargo end date: 01 Jan 2013Publisher:arXiv
Authors: Bouc, Serge;

doi: 10.48550/arxiv.1311.2219

arXiv: http://arxiv.org/abs/1311.2219

The poset of posets

Abstract

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

Related Organizations
Keywords

FOS: Mathematics, Mathematics - Combinatorics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Combinatorics (math.CO), Group Theory (math.GR), Mathematics - Group Theory

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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