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Equivalence of Topologically-Algebraic and Semi-Topological Functors

Published online by Cambridge University Press:  20 November 2018

H. Herrlich ,
R. Nakagawa ,
G. E. Strecker  and
T. Titcomb
H. Herrlich
Affiliation:
Universität Bremen, Bremen, W. Germany
R. Nakagawa
Affiliation:
University of Tsukuba, Ibaraki, Japan
G. E. Strecker
Affiliation:
Kansas State University, Manhattan, Kansas
T. Titcomb
Affiliation:
Kansas State University, Manhattan, Kansas
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Throughout let be faithful.

1.1. A U-morphism with domain X is a pair (e, A), where e ∈ Hom (X, UA). A [U-morphism (e, A) is called U-epi ( = generating) provided that r, s ∈ Hom (A, A’) and (Ur)e = (Us)e imply that r = s.

1.2. A U-source is a pair (X, (fi,Ai)I), (written more simply (X, (fi,Ai)I),, where (fi,Ai)I 7 is a family of U-morphisms each with domain X.

1.3. A factorization of a U-source (X,fi,Ai)I is a triple (e,A,gi)I such that (e, A) is a U-morphisms with domain X and for each i ∈ I gi ∈ Hom (A,Ai) and (Ugi)e = fi.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 32 , Issue 1 , 01 February 1980 , pp. 34 - 39
Copyright
Copyright © Canadian Mathematical Society 1980

References

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