MARC record from Internet Archive

LEADER: 09234cam 2200517 i 4500
001 ocn945169917
003 OCoLC
005 20221110190754.0
008 160317s2016 nju b 001 0 eng
010 $a 2016003761
040 $aDLC$beng$erda$cDLC$dYDX$dOCLCF$dYDXCP$dOCLCQ$dUX0$dOCLCO$dPUL
020 $a9789814571517$q(hardback ;$qalk. paper)
020 $a9814571512$q(hardback ;$qalk. paper)
020 $a9789814571524$q(pbk. ;$qalk. paper)
020 $a9814571520$q(pbk. ;$qalk. paper)
035 $a(OCoLC)945169917
042 $apcc
050 00 $aQA611$b.D65 2016
082 00 $a514$223
100 1 $aDolecki, Szymon.
245 10 $aConvergence foundations of topology /$cSzymon Dolecki (Mathematical Institute of Burgundy, France), Frédéric Mynard (New Jersey City University, USA).
264 1 $aNew Jersey :$bWorld Scientific,$c2016.
300 $axix, 548 pages ;$c23 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
504 $aIncludes bibliographical references and index.
505 00 $aMachine generated contents note:$gI.$tIntroduction --$g1.$tPreliminaries and conventions --$g2.$tPremetrics and balls --$g3.$tSequences --$g4.$tCofiniteness --$g5.$tQuences --$g6.$tAlmost inclusion --$g7.$tWhen premetrics and sequences do not suffice --$g7.1.$tPointwise convergence --$g7.2.$tRiemann integrals --$gII.$tFamilies of sets --$g1.$tIsotone families of sets --$g2.$tFilters --$g2.1.$tOrder --$g2.2.$tFree and principal filters --$g2.3.$tSequential filters --$g2.4.$tImages, preimages, products --$g3.$tGrills --$g4.$tDuality between filters and grills --$g5.$tTriad: filters, filter-grills and ideals --$g6.$tUltrafilters --$g7.$tCardinality of the set of ultrafilters --$g8.$tRemarks on sequential filters --$g8.1.$tCountably based and Frechet filters --$g8.2.$tInfima and products of filters --$g9.$tContours and extensions --$gIII.$tConvergences --$g1.$tDefinitions and first examples --$g2.$tPreconvergences on finite sets --$g2.1.$tPreconvergences on two-point sets --$g2.2.$tPreconvergences on three-point sets --$g3.$tInduced (pre)convergence --$g4.$tPremetrizable convergences --$g5.$tAdherence and cover --$g6.$tLattice of convergences --$g7.$tFinitely deep modification --$g8.$tPointwise properties of convergence spaces --$g9.$tConvergences on a complete lattice --$gIV.$tContinuity --$g1.$tContinuous maps --$g2.$tInitial and final convergences --$g3.$tInitial and final convergences for multiple maps --$g4.$tProduct convergence --$g4.1.$tFinite product --$g4.2.$tInfinite product --$g5.$tFunctional convergences --$g6.$tDiagonal and product maps --$g6.1.$tDiagonal map --$g6.2.$tProduct map --$g7.$tInitial and final convergences for product maps --$g8.$tQuotient --$g9.$tConvergence invariants --$g9.1.$tPremetrizability, metrizability --$g9.2.$tIsolated points, paving number, finite depth --$g9.3.$tCharacters and weight --$g9.4.$tDensity and separability --$gV.$tPretopologies --$g1.$tDefinition and basic properties --$g2.$tPrincipal adherences and inherences --$g3.$tOpen and closed sets, closures, interiors, neighborhoods --$g4.$tTopologies --$g4.1.$tTopological modification --$g4.2.$tInduced topology --$g4.3.$tProduct topology --$g5.$tOpen maps and closed maps --$g6.$tTopological defect and sequential order --$g6.1.$tIterated adherence and topological defect --$g6.2.$tSequentially based convergence and sequential order --$gVI.$tDiagonality and regularity --$g1.$tMore on contours --$g2.$tDiagonality --$g2.1.$tVarious types of diagonality --$g2.2.$tDiagonal modification --$g3.$tSelf-regularity --$g4.$tTopological regularity --$g5.$tRegularity with respect to another convergence --$gVII.$tTypes of separation --$g1.$tConvergence separation --$g2.$tRegularity with respect to a family of sets --$g3.$tFunctionally induced convergences --$g4.$tReal-valued functions --$g5.$tFunctionally closed and open sets --$g6.$tFunctional regularity (aka complete regularity) --$g7.$tNormality --$g8.$tContinuous extension of maps --$g9.$tTietze's extension theorem --$gVIII.$tPseudotopologies --$g1.$tAdherence, inherence --$g2.$tPseudotopologies --$g3.$tPseudotopologizer --$g4.$tRegularity and topologicity among pseudotopologies --$g5.$tInitial density in pseudotopologies --$g6.$tNatural convergence --$g7.$tConvergences on hyperspaces --$gIX.$tCompactness --$g1.$tCompact sets --$g2.$tRegularity and topologicity in compact spaces --$g3.$tLocal compactness --$g4.$tTopologicity of hyperspace convergences --$g5.$tStone topology --$g6.$tAlmost disjoint families --$g7.$tCompact families --$g8.$tConditional compactness --$g8.1.$tParatopologies --$g8.2.$tCountable compactness --$g8.3.$tSequential compactness --$g9.$tUpper Kuratowski topology --$g10.$tMore on covers --$g11.$tCover-compactness --$g12.$tPseudocompactness --$gX.$tCompleteness in metric spaces --$g1.$tComplete metric spaces --$g2.$tCompletely metrizable spaces --$g3.$tMetric spaces of continuous functions --$g4.$tUniform continuity, extensions, and completion --$gXI.$tCompleteness --$g1.$tCompleteness with respect to a collection --$g2.$tCocompleteness --$g3.$tCompleteness number --$g4.$tFinitely complete convergences --$g5.$tCountably complete convergences --$g6.$tPreservation of completeness --$g7.$tCompleteness of subspaces --$g8.$tCompleteness of products --$g9.$tConditionally complete convergences --$g10.$tBaire property --$g11.$tStrict completeness --$gXII.$tConnectedness --$g1.$tConnected spaces --$g2.$tPath connected and arc connected spaces --$g3.$tComponents and quasi-components --$g4.$tRemarks on zero-dimensional spaces --$gXIII.$tCompactifications --$g1.$tIntroduction --$g2.$tCompactifications of functionally regular topologies --$g3.$tFilters in lattices --$g4.$tFilters in lattices of closed and functionally closed sets --$g5.$tMaximality conditions --$g6.$tCech-Stone compactification --$gXIV.$tClassification of spaces --$g1.$tModifiers, projectors, and coprojectors --$g2.$tFunctors, reflectors and coreflectors --$g3.$tAdherence-determined convergences --$g3.1.$tReflective classes --$g3.2.$tComposable classes of filters --$g3.3.$tConditional compactness --$g4.$tConvergences based in a class of filters --$g5.$tOther F0-composable classes of filters --$g6.$tFunctorial inequalities and classification of spaces --$g7.$tReflective and coreflective hulls --$g8.$tConditional compactness and cover-compactness --$gXV.$tClassification of maps --$g1.$tVarious types of quotient maps --$g1.1.$tRemarks on the quotient convergence --$g1.2.$tTopologically quotient maps --$g1.3.$tHereditarily quotient maps --$g1.4.$tQuotient maps relative to a reflector --$g1.5.$tBiquotient maps --$g1.6.$tAlmost open maps --$g1.7.$tCountably biquotient map --$g2.$tInteractions between maps and spaces --$g3.$tCompact relations --$g4.$tProduct of spaces and of maps --$gXVI.$tSpaces of maps --$g1.$tEvaluation and adjoint maps --$g2.$tAdjoint maps on spaces of continuous maps --$g3.$tFundamental convergences on spaces of continuous maps --$g4.$tPointwise convergence --$g5.$tNatural convergence --$g5.1.$tContinuity of limits --$g5.2.$tExponential law --$g5.3.$tFiner subspaces and natural convergence --$g5.4.$tContinuity of adjoint maps --$g5.5.$tInitial structures for adjoint maps --$g6.$tCompact subsets of function spaces (Ascoli-Arzela) --$gXVII.$tDuality --$g1.$tNatural duality --$g2.$tModified duality --$g3.$tConcrete characterizations of bidual reflectors --$g4.$tEpitopologies --$g5.$tFunctionally embedded convergences --$g6.$tExponential hulls and exponential objects --$g7.$tDuality and product theorems --$g8.$tNon-Frechet product of two Frechet compact topologies --$g9.$tSpaces of real-valued continuous functions --$g9.1.$tCauchy completeness --$g9.2.$tCompleteness number --$g9.3.$tCharacter and weight --$gXVIII.$tFunctional partitions and metrization --$g1.$tIntroduction --$g2.$tPerfect normality --$g3.$tPseudometrics --$g4.$tFunctional covers and partitions --$g5.$tParacompactness --$g6.$tFragmentations of partitions of unity --$g7.$tMetrization theorems --$gA.$tSet theory --$g1.$tAxiomatic set theory --$g2.$tBasic set theory --$g3.$tNatural numbers --$g4.$tCardinality --$g5.$tContinuum --$g6.$tOrder --$g7.$tLattice --$g8.$tWell ordered sets --$g9.$tOrdinal numbers --$g10.$tOrdinal arithmetic --$g11.$tOrdinal-cardinal numbers.
650 0 $aTopology$vTextbooks.
650 0 $aConvergence.
650 0 $aTopological groups.
650 6 $aConvergence (Mathématiques)
650 6 $aGroupes topologiques.
650 7 $aConvergence.$2fast$0(OCoLC)fst00877195
650 7 $aTopological groups.$2fast$0(OCoLC)fst01152684
650 7 $aTopology.$2fast$0(OCoLC)fst01152692
655 7 $aTextbooks.$2fast$0(OCoLC)fst01423863
655 7 $aTextbooks.$2lcgft$0http://id.loc.gov/authorities/genreForms/gf2014026191$0(uri) http://id.loc.gov/authorities/genreForms/gf2014026191
700 1 $aMynard, Frédéric,$d1973-
938 $aYBP Library Services$bYANK$n11304715
938 $aYBP Library Services$bYANK$n11304716
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994 $aZ0$bGTX
948 $hNO HOLDINGS IN GTX - 48 OTHER HOLDINGS