NEW YORK SEMINAR ON GENERAL TOPOLOGY AND TOPOLOGICAL ALGEBRA

August - December 2015

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WEDNESDAY, AUGUST 26:   Ittay Weiss, University of the South Pacific, will discuss "Weak fibrations and a metric formalism for topology". At CCNY; tea 3:15pm, talk 4pm, NAC 4/205. For more information, contact Ralph Kopperman, rdkcc@ccny.cuny.edu.

     ABSTRACT:   Continuity spaces give rise to a category of (generalized) metric space which is equivalent to the category of topological spaces. Classical topological spaces and continuity spaces are thus different models of the same thing, and which models are better depends on the question at hand. I will present a simple machinery cast in the language of fibrations, resulting in a mechanism that converts metric constructions into topological ones, or into uniform ones. Two main special cases recover (in the uniform case) and generalize (in the topological case) recent work on discrete homology and discrete homotopy of metric spaces.

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For more information, contact:

CCNY: R. Kopperman (845-915-0914), S. Popvassilev (646-257-7197)
College of Staten Island (718-982-3626): P. R. Misra
Baruch College (646-312-4136): A. Todd
LIU C. W. Post Center (516-299-2447): S. Andima
Medgar Evers College, (718-270-6416): H. Pajoohesh
Queensborough Community College, (718-281-5291): F. Jordan