* Preprint: Equilogical spaces, homology and noncommutative geometry
@ 2003-11-27 13:05 Marco Grandis
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From: Marco Grandis @ 2003-11-27 13:05 UTC (permalink / raw)
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The following preprint is available (in pdf and ps):
Marco Grandis
Equilogical spaces, homology and noncommutative geometry
Dip. Mat. Univ. Genova, Preprint 491 (2003), 24 p.
Abstract. After introducing singular homology for D. Scott's equilogical
spaces, we show how these structures can express 'formal quotients' of
topological spaces, which do not exist as ordinary spaces and are related
with well-known noncommutative C*-algebras.
This study also uses a wider notion of local maps between equilogical
spaces, which might be of interest for the general theory of the latter.
MSC: 18B30, 54A05, 55U10, 55Nxx, 46L80.
Keywords: Equilogical spaces, cubical sets, singular homology,
noncommutative C*-algebras.
http://www.dima.unige.it/~grandis/Eql.pdf
http://www.dima.unige.it/~grandis/Eql.ps
Marco Grandis
Dipartimento di Matematica
Universita` di Genova
Via Dodecaneso 35
16146-Genova, Italy
e-mail: grandis@dima.unige.it
home page: http://www.dima.unige.it/~grandis/
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