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Topological Properties of Spaces of Continuous Functions (Paperback, 1988 ed.)
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Topological Properties of Spaces of Continuous Functions (Paperback, 1988 ed.)
Series: Lecture Notes in Mathematics, 1315
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Total price: R1,119
Discovery Miles: 11 190
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This book brings together into a general setting various techniques
in the study of the topological properties of spaces of continuous
functions. The two major classes of function space topologies
studied are the set-open topologies and the uniform topologies.
Where appropriate, the analogous theorems for the two major classes
of topologies are studied together, so that a comparison can be
made. A chapter on cardinal functions puts characterizations of a
number of topological properties of function spaces into a more
general setting: some of these results are new, others are
generalizations of known theorems. Excercises are included at the
end of each chapter, covering other kinds of function space
topologies. Thus the book should be appropriate for use in a
classroom setting as well as for functional analysis and general
topology. The only background needed is some basic knowledge of
general topology.
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