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Existence and Nonexistence of Regular Generators

Published online by Cambridge University Press:  20 November 2018

J. Adámek
J. Adámek*
Affiliation:
Czech Technical University, Technická 2, Praha 6, Czechoslovakia
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Abstract

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A total category is constructed which has no regular generator although it has an object C such that every object is a regular quotient of a copower of C.

Keywords

18A2018A99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 1 , 01 March 1994 , pp. 3 - 7
Copyright
Copyright © Canadian Mathematical Society 1994

References

[AHR] Adámek, J., Herrlich, H. and Reiterman, J., Completeness almost implies cocompleteness, Proc. of Categorical Topology, Prague, 1988, World Scient. Publ., Singapore, 1989.Google Scholar
[AHS] Adámek, J., Herrlich, H. and Strecker, G. E., Abstract and concrete categories, Wiley-Interscience Publ., New York, 1990.Google Scholar
[BT] ] Börger, R. and Tholen, W., Strong, regular and dense generators, Cahiers Topol. Géom. Différentielle, to appear.Google Scholar
[BT2 Börger, J and Tholen, W., Total categories and solid functors, Canad. J. Math. 42(1990), 213–229.Google Scholar
[BT3]Börger and Tholen, W., Totality of colimit closures, Comment. Math. Univ. Carolinae 32(1991), 749–759.Google Scholar
[D] Day, B. J., Further criteria for totality, Cahiers Topol. Géom. Différentielle 28(1987), 77–78.Google Scholar
[GU] P.Gabriel and Ulmer, P., Lokalprdsentierbare Kategorien, Springer Lecture Notes In Math. 221, Springer- Verlag, 1971.Google Scholar
[K] Kelly, G. M., A survey of totality for enrichedandordinary categories, Cahiers Topol. Géom. Différentielle 27(1986), 109–131.Google Scholar
[T] Tholen, W., Note on total categories, Bull. Austral. Math. Soc. 21(1980), 169–173.Google Scholar
[TRA] Trnkovä, V., Rosicky, J. and J. Adämek, Unexpected properties oflocally presentable categories, Algebra Universalis 27(1990), 153–170.Google Scholar