000 02907nam a22004935i 4500
001 978-3-540-39181-4
003 DE-He213
005 20190213151731.0
007 cr nn 008mamaa
008 121227s1988 gw | s |||| 0|eng d
020 _a9783540391814
_9978-3-540-39181-4
024 7 _a10.1007/BFb0098389
_2doi
050 4 _aQA611-614.97
072 7 _aPBP
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBP
_2thema
082 0 4 _a514
_223
100 1 _aMcCoy, Robert A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aTopological Properties of Spaces of Continuous Functions
_h[electronic resource] /
_cby Robert A. McCoy, Ibula Ntantu.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1988.
300 _aVI, 130 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1315
505 0 _aFunction space topologies -- Natural functions -- Convergence and compact subsets -- Cardinal functions -- Completeness and other properties.
520 _aThis 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.
650 0 _aTopology.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aTopology.
_0http://scigraph.springernature.com/things/product-market-codes/M28000
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
700 1 _aNtantu, Ibula.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662169346
776 0 8 _iPrinted edition:
_z9783540193029
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1315
856 4 0 _uhttps://doi.org/10.1007/BFb0098389
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11700
_d11700