Hausdorff distance Hausdorff distance can be defined the same way for closed non-compact subsets of M, but in this case the distance may take infinite value and the topology of F(M) starts to depend on particular metric on M (not only on its topology). The Hausdorff distance between not closed subsets can be defined as the Hausdorff distance between its closures. It gives a pre-metric (or pseudometric) on the set of all subsets of M (Hausdorff distance between any two sets and with the same closures is zero).
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A very good list of electronically available lecture notes on
category theory, taken from Kurz homepage:
category theory, taken from Kurz homepage:
M. Caccamo, J.M.E. Hyland, G. Winskel:
Lecture Notes
in Category Theory. BRICS Lecture Series, 2001.
M. Fokkinga:
A Gentle Introduction to Category Theory - the calculational
approach. University of Utrecht, 1992.
Chris Hillman: A
Categorical Primer. August 2001.
Tom Leinster:
Category Theory.
This page contains an informal
introduction to category theory and, for example, a nice explanation
of the Yoneda Lemma.
Jaap van Oosten:
Basic Category Theory.
D. Turi: Category
Theory Lecture Notes. LFCS, Univeristy of Edinburgh, 2001.
Thursday, February 03, 2005
Kluwer Online Internet Publishing System - Georgian Mathematical Journal: "On Uncountable Unions and Intersections of Measurable Sets"
Monday, January 31, 2005
Friday, January 28, 2005
Wednesday, January 26, 2005
Saturday, January 22, 2005
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