On reflective-coreflective equivalence and associated pairs

Erik Bédos, S. Kaliszewski, and John Quigg

We show that a reflective/coreflective pair of full subcategories satisfies a ``maximal-normal''-type equivalence if and only if it is an associated pair in the sense of Kelly and Lawvere.

Keywords: reflective and coreflective subcategories, equivalent categories, associated pairs of subcategories

2000 MSC: Primary 18A40; Secondary 46L55, 46L89

Theory and Applications of Categories, Vol. 25, 2011, No. 20, pp 533-536.

Published 2011-12-18.

http://www.tac.mta.ca/tac/volumes/25/20/25-20.dvi
http://www.tac.mta.ca/tac/volumes/25/20/25-20.ps
http://www.tac.mta.ca/tac/volumes/25/20/25-20.pdf
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/25/20/25-20.dvi
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