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- catalog abstract "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.".
- catalog contributor b2178606.
- catalog contributor b2178607.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Bibliography: p. [107]-119.".
- catalog description "Contents: Introduction -- Function Space Topologies -- Natural Functions -- Convergence and Compact Subsets -- Cardinal Functions -- Completeness and Other Properties -- Historical Notes -- Bibliography -- List of Symbols -- Subject Index.".
- catalog description "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.".
- catalog extent "iv, 124 p. ;".
- catalog hasFormat "Topological properties of spaces of continuous functions.".
- catalog identifier "0387193022 (U.S.)".
- catalog identifier "3540193022".
- catalog isFormatOf "Topological properties of spaces of continuous functions.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1315.".
- catalog isPartOf "Lecture notes in mathematics ; 1315".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Topological properties of spaces of continuous functions.".
- catalog subject "510 s 514 19".
- catalog subject "Function spaces.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1315 QA323".
- catalog subject "Topology.".
- catalog tableOfContents "Contents: Introduction -- Function Space Topologies -- Natural Functions -- Convergence and Compact Subsets -- Cardinal Functions -- Completeness and Other Properties -- Historical Notes -- Bibliography -- List of Symbols -- Subject Index.".
- catalog title "Topological properties of spaces of continuous functions / Robert A. McCoy, Ibula Ntantu.".
- catalog type "text".