Research Papers Dedicated to the 100th Anniversary of P. S. Alexandroff's Birth

Bitopologies of products and ratios

A. A. Ivanov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The purpose of the paper is to extend the concepts of splitting and jointly continuous topologies of function spaces on products of spaces, to present the resulting new theory of duality between topologies on function spaces and topologies on products of spaces, to generalize these theories on bitopological spaces.

UDC: 515.122.55+515.122.4

Received: 01.03.1997

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