Triquotient maps via ultrafilter convergence
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- by Maria Manuel Clementino and Dirk Hofmann PDF
- Proc. Amer. Math. Soc. 130 (2002), 3423-3431 Request permission
Abstract:
In this paper we characterize triquotient maps as those that are surjective on chains of convergent ultrafilters, extending the result known for triquotient maps between finite topological spaces.References
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Additional Information
- Maria Manuel Clementino
- Affiliation: Departamento de Matemática, Universidade de Coimbra, 3001-454 Coimbra, Portugal
- Email: mmc@mat.uc.pt
- Dirk Hofmann
- Affiliation: Departamento de Matemática, Universidade de Coimbra, 3001-454 Coimbra, Portugal
- Address at time of publication: Departamento de Matemática, Universidade de Aveiro, 3810-193 Aveiro, Portugal
- Email: dirk@mat.uc.pt, dirk@mat.ua.pt
- Received by editor(s): November 7, 2000
- Received by editor(s) in revised form: June 25, 2001
- Published electronically: April 22, 2002
- Additional Notes: The authors acknowledge partial financial assistance by Centro de Matemática da Universidade de Coimbra. The first author also thanks Project PRAXIS XXI 2/2.1/MAT/46/94.
- Communicated by: Alan Dow
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3423-3431
- MSC (2000): Primary 54C10, 54A20, 54B30, 18A20, 18B30
- DOI: https://doi.org/10.1090/S0002-9939-02-06472-9
- MathSciNet review: 1913023