A cancellation law for partially ordered sets and $T_0$ spaces
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- by B. Banaschewski and R. Lowen
- Proc. Amer. Math. Soc. 132 (2004), 3463-3466
- DOI: https://doi.org/10.1090/S0002-9939-04-07339-3
- Published electronically: July 22, 2004
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Abstract:
In this paper we prove a cancellation law in the category (1) of partially ordered sets and (2) of $T_0$ 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
- Ehrhard Behrends and Jan Pelant, The cancellation law for compact Hausdorff spaces and vector-valued Banach-Stone theorems, Arch. Math. (Basel) 64 (1995), no. 4, 341–343. MR 1319005, DOI 10.1007/BF01198090
- Borsuk K. Sur la décomposition des polyèdres en produits cartésiens Fund. Math. 33 (1938) 137–148
- R. H. Fox, On a problem of S. Ulam concerning Cartesian products, Fund. Math. 34 (1947), 278–287. MR 27502, DOI 10.4064/fm-34-1-278-287
- E. Santillan Zeron, Cancellation laws in topological products, Houston J. Math. 27 (2001), no. 1, 67–74. MR 1843913
Bibliographic 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
- Received by editor(s): September 26, 2002
- Received by editor(s) in revised form: May 7, 2003
- Published electronically: July 22, 2004
- Communicated by: Alan Dow
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3463-3466
- MSC (2000): Primary 06A06, 54B10
- DOI: https://doi.org/10.1090/S0002-9939-04-07339-3
- MathSciNet review: 2084065