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Semi-identifying Lifts and a Generalization of the Duality Theorem for Topological Functors

✍ Scribed by Rudolf-E. Hoffmann

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 771 KB
Volume: 74
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.3210740124

No coin nor oath required. For personal study only.

✦ Synopsis

In f 1 we introduce the concept of V-semi-identifying lift (V-semi-idt. lift) generalizing our concept of V-idt. lift [8], whose specific properties we want to discuss in another paper, and at the same time generalizing WYLER'S concept of V-proclusion pair [is]. We characterize those functors V : C + D for "good" base categories D which have "enough" V-semi-identifying lifts ("semi-identifying functors").

' * A=p,p, is called a (V-)lift of the V-datum (T; p, D). For two lifts (A, C ; p ) and (A', C';p') of (T ; p, D) a morphism (A, C; p) -c (A', C' ; p') is given by a C-morphism h : C -C'

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