Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Triquotient maps via ultrafilter convergence


Authors: Maria Manuel Clementino and Dirk Hofmann
Journal: Proc. Amer. Math. Soc. 130 (2002), 3423-3431
MSC (2000): Primary 54C10, 54A20, 54B30, 18A20, 18B30
Published electronically: April 22, 2002
MathSciNet review: 1913023
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06472-9
Keywords: Biquotient map, effective descent map and triquotient map, convergent structure
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
Article copyright: © Copyright 2002 American Mathematical Society