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Fall 2015 Lusternik–Schnirelmann category for cell complexes and posets
Kohei Tanaka
Illinois J. Math. 59(3): 623-636 (Fall 2015). DOI: 10.1215/ijm/1475266400

Abstract

This paper introduces two analogues of the Lusternik–Schnirelmann category from a combinatorial viewpoint. One analogue is defined for finite cell complexes using their subcomplexes and simple homotopy theory; the other is an invariant for finite posets with respect to simple equivalence based on the notion of weak beat points. We examine the relation between these two invariants by taking the face posets of complexes or order complexes of posets.

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Kohei Tanaka. "Lusternik–Schnirelmann category for cell complexes and posets." Illinois J. Math. 59 (3) 623 - 636, Fall 2015. https://doi.org/10.1215/ijm/1475266400

Information

Received: 10 December 2015; Revised: 25 February 2016; Published: Fall 2015
First available in Project Euclid: 30 September 2016

zbMATH: 1362.55005
MathSciNet: MR3554225
Digital Object Identifier: 10.1215/ijm/1475266400

Subjects:
Primary: 55M30
Secondary: 57Q10

Rights: Copyright © 2015 University of Illinois at Urbana-Champaign

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Vol.59 • No. 3 • Fall 2015
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