FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 2, PAGES 3-56

**$$l-topologies
on function spaces**

N. V. Velichko

Abstract

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This paper is devoted to the spaces $C$_{l}(X) of all
continuous real-valued functions on $X$ endowed with arbitrary
$$l-topologies.
This is a fairly complete survey of the results obtained by the
author in the following domains of the theory of $$l-topologies: cardinal
functions; locally convex properties; weak and strong topologies; dual
spaces; lattices of $$l-topologies;
completeness.

Location: http://mech.math.msu.su/~fpm/eng/k03/k032/k03201h.htm.

Last modified: May 19, 2004.