Co-well-powered reflective subcategories-Reference-Cited by-同舟云学术

Co-well-powered reflective subcategories

Published:1984 Issue:1 Volume:90 Page:45-46
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hoffmann Rudolf-E.

Abstract

A full isomorphism-closed subcategory A \mathcal {A} of a complete well-powered and co-well-powered category C \mathcal {C} is both co-well-powered (in its own right) and reflective in C \mathcal {C} if and only if (a) A \mathcal {A} is closed in C \mathcal {C} under the formation of ( U U -small-indexed) limits, and (b) the epi-reflective hull B \mathcal {B} of A \mathcal {A} in C \mathcal {C} is co-well-powered.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1984-090-01/S0002-9939-1984-0722413-1/S0002-9939-1984-0722413-1.pdf

Reference7 articles.

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4. Epireflective subcategories of TOP need not be cowellpowered;Herrlich, H.;Comment. Math. Univ. Carolinae,1975

5. Factorization of cones. II. With applications to weak Hausdorff spaces;Hoffmann, Rudolf-E.,1982

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1. Categorical Topology — Its Origins, as Exemplified by the Unfolding of the Theory of Topological Reflections and Coreflections before 1971;Handbook of the History of General Topology;1997

2. Some open categorical problems inTop;Applied Categorical Structures;1993-03

3. Reflective subcategories;Topology and its Applications;1987-11

4. Prereflections and reflections;Communications in Algebra;1986-01