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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 18/1998

A.A.IVANOV
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BITOPOLOGICAL REPRESENTATIONS

This preprint was accepted September 28, 1998

Contact:
` A.A.Ivanov `

ABSTRACT:
A class $\Cal B$ of bitopological structures is a bitopological
representation of a class $\Cal C$ of continuous mappings of
topological spaces if $\Cal C$ coinsides with the class of all
bicontinuous mappings $f:(X,\beta)\longrightarrow (X^\prime,\beta^\prime)$
for all $\beta, \beta^\prime\in\Cal B$. The paper contains a short
survey of old author's results and some new results on bitopological
representations of classes of metric space mappings.

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