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010   $a9783319770543
010   $a3-319-77054-3
024 7 $a10.1007/978-3-319-77054-3
035   $a(CKB)4100000003359510
035   $a(MiAaPQ)EBC5356110
035   $a(DE-He213)978-3-319-77054-3
035   $z(PPN)258862653
035   $a(PPN)226697347
035   $a(EXLCZ)994100000003359510
100   $a20180421d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFunction spaces with uniform, fine and graph topologies /$fby Robert A. McCoy, Subiman Kundu, Varun Jindal
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d[2018].
215   $a1 online resource (121 pages)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311 1 $a9783319770536 
311 1 $a3-319-77053-5 
320   $aIncludes bibliographical references and index.
327   $aPreface -- Introduction -- 1 Preliminaries -- 2 Metrizability and Completeness Properties of C? (X, Y ) for ? = d, f, g -- 3 Cardinal Functions and Countability Properties -- 4 Connectedness and Path Connectedness of C? (X, Y ) for a Normed Linear Space Y , where ? = d, f, g. - 5 Compactness in C? (X, Y ) for ? = d, f, g. - 6 Spaces of Homeomorphisms -- Bibliography -- List of Symbols -- Index.
330   $aThis book presents a comprehensive account of the theory of spaces of continuous functions under uniform, fine and graph topologies. Besides giving full details of known results, an attempt is made to give generalizations wherever possible, enriching the existing literature. The goal of this monograph is to provide an extensive study of the uniform, fine and graph topologies on the space C(X,Y) of all continuous functions from a Tychonoff space X to a metric space (Y,d); and the uniform and fine topologies on the space H(X) of all self-homeomorphisms on a metric space (X,d). The subject matter of this monograph is significant from the theoretical viewpoint, but also has applications in areas such as analysis, approximation theory and differential topology. Written in an accessible style, this book will be of interest to researchers as well as graduate students in this vibrant research area.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aTopology
606   $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000
606   $aTopologia$2lemac
606   $aEspais topològics$2lemac
615  0$aTopology.
615 14$aTopology.
615  7$aTopologia
615  7$aEspais topològics
676   $a515.73
700   $aMcCoy$b Robert A$4aut$4http://id.loc.gov/vocabulary/relators/aut$0726138
702   $aKundu$b Subiman$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aJindal$b Varun$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300109703321
996   $aFunction Spaces with Uniform, Fine and Graph Topologies$92240078
997   $aUNINA