A cancellation law for partially ordered sets and $T_0$ spaces
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- by B. Banaschewski and R. Lowen PDF
- Proc. Amer. Math. Soc. 132 (2004), 3463-3466 Request permission
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
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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
- 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