The poset of posets

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 Möbius function of \Omega_X is computed.

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Field	Value
Source	https://hal.science/hal-00881858
Author	Bouc, Serge
Maintainer	CCSD
Last Updated	May 9, 2026, 02:14 (UTC)
Created	May 9, 2026, 02:14 (UTC)
Identifier	hal-00881858
Language	en
Rights	https://about.hal.science/hal-authorisation-v1/
contributor	Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 UPJV (LAMFA) ; Université de Picardie Jules Verne (UPJV)-Centre National de la Recherche Scientifique (CNRS)
creator	Bouc, Serge
date	2013-11-08T00:00:00
harvest_object_id	a5ba03d3-b748-48fe-9ca2-23e753546272
harvest_source_id	3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title	test moissonnage SELUNE
metadata_modified	2024-05-17T00:00:00
relation	info:eu-repo/semantics/altIdentifier/arxiv/1311.2219
set_spec	type:REPORT