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Triquotient maps via ultrafilter convergence
Author(s):
Maria
Manuel
Clementino;
Dirk
Hofmann
Journal:
Proc. Amer. Math. Soc.
130
(2002),
3423-3431.
MSC (2000):
Primary 54C10, 54A20, 54B30, 18A20, 18B30
Posted:
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.
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
DOI:
10.1090/S0002-9939-02-06472-9
PII:
S 0002-9939(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
Posted:
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 of article:
Copyright
2002,
American Mathematical Society
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