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ISSN 1088-6826(e) ISSN 0002-9939(p)

A cancellation law for partially ordered sets and spaces

Author(s): B. Banaschewski; R. Lowen
Journal: Proc. Amer. Math. Soc. 132 (2004), 3463-3466.
MSC (2000): Primary 06A06, 54B10
Posted: July 22, 2004
MathSciNet review: 2084065
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Abstract | References | Similar articles | Additional information

Abstract: In this paper we prove a cancellation law in the category (1) of partially ordered sets and (2) of spaces, the respective conditions on the common factor being that it have (1) an irreducible bottom element and (2) an irreducible bottom element in its specialization order.

References:

1.: Behrends E. and Pelant J. The cancellation law for compact Hausdorff spaces and vector-valued Banach-Stone theorems Arch. Math. 64 (1995) 341-343 MR 1319005 (96h:46046)
2.: Borsuk K. Sur la décomposition des polyèdres en produits cartésiens Fund. Math. 33 (1938) 137-148
3.: Fox R.H. On a problem of S. Ulam concerning cartesian products Fund. Math. 34 (1947) 278-287 MR 0027502 (10:316a)
4.: Zeron S.E. Cancellation laws in topological products Houston J. Math. 27 (2001) 67-74 MR 1843913 (2002d:54003)

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Additional Information:

B. Banaschewski
Affiliation: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1

R. Lowen
Affiliation: Department of Mathematics and Computer Science, University of Antwerp, Middelheimlaan 1, 2020 Antwerp, Belgium
Email: rlow@ruca.ua.ac.be

DOI: 10.1090/S0002-9939-04-07339-3
PII: S 0002-9939(04)07339-3
Keywords: Cancellation, product, partially ordered set, $T_0$ space, specialization order.
Received by editor(s): September 26, 2002
Received by editor(s) in revised form: May 7, 2003
Posted: July 22, 2004
Communicated by: Alan Dow
Copyright of article: Copyright 2004, American Mathematical Society

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