Acta Mathematica Hungarica
Volume/Issue:
Volume 114: Issue 1-2
Epimorphisms and cowellpoweredness for separated metrically generated theories
Authors:
V. Claes Vrije Universiteit Department of Mathematics 1050 Brussel Belgium 1050 Brussel Belgium

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E. Colebunders Vrije Universiteit Department of Mathematics 1050 Brussel Belgium 1050 Brussel Belgium

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, and
A. Gerlo

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Pages:
133–152
Online Publication Date:
22 Nov 2006
Publication Date:
01 Jan 2007
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-006-0518-6
Keywords:
topological construct; metrically generated theory; T 0 object; epimorphism; cowellpoweredness; 54B30; 54D10; 18A20; 18B99
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Abstract  

For metrically generated constructs X we give an internal characterization of the regular closure operator on X, determined by the subconstruct X0, consisting of its T0 objects. This allows us to describe the epimorphisms in X0 and to show that all the constructs of that type are cowellpowered. We capture many known results but our method also gives solutions in cases where the epimorphism problem was still open.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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