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Hu S.T. — Introduction to general topology
Hu S.T. — Introduction to general topology



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Название: Introduction to general topology

Автор: Hu S.T.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1966

Количество страниц: 240

Добавлена в каталог: 28.10.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Metric property      143
Metric space      105 112
Metric, discrete      106
Metric, Hausdorff      118
Metric, usual      106
Metrizability      119
Metrization of uniform spaces      166
Michael’s lemma      130
Moore — Smith convergence      70
Nagata — Smirnov metrization theorem      126
Natural projection      43
Neighborhood      18
Neighborhood basis      19
Neighborhood system      19
Neighborhood, $r$      107
Neighborhood, basic      19
Net      71
Net, Cauchy      181
Net, Fundamental      181
Norm      204
Normal space      57
Normal space, completely      61
Normal space, fully      70
Normed linear space      204
Nowhere dense      70 143 229
One-point compactification      97
One-point union      45
One-to-one      8
Open ball      108
Open cover      33
Open half line      18
Open interval      18
Open map      28
Open property      104
Open set      16 17
Operator      26
Operator, closure      26
Operator, interior      26
Operator, linear      217
Overlapping sets      4
Paracompact      68
Partition      43
Partition of unity      118
Path      84
Path-component      84
Pathwise connected      84
Pathwise connected, locally      87
Perfectly normal space      127
Point      2 21 24
Poles of suspension      47
Power      12 37
Power, Cartesian      12
Power, topological      37
Precompact      133
PRODUCT      12 37
Product topology      37
Product, cartesian      12 40
Product, topological      37
Projection      12 38
Projection, natural      43
Projective space      44
Proper subset      3
Property, extension      96
Property, hereditary      101
Property, homotopy      53
Property, isotopy      53
Property, lower end      181
Property, metric      143
Property, open      104
Property, topological      29 127
Property, uniform      177
Property, upper end      181
Property, weakly hereditary      101
Pseudo-metric      105
Pseudo-metric space      112
Pseudo-metric, bounded      109
Pseudo-metric, restriction of      110
Pseudo-metric, trivial      106
Pseudo-norm      204
Pseudo-normablc      208
Quotient space      43
Quotient topology      43
Radius of ball      108
Range of function      6
Real line      17
Real projective space      44
Reduced metric spacc      141
refinement      68
Refinement, star      70
Regular space      57
Relative topology      31
Residual subset      71
Restricted Cartesian product      13
Restriction      9 32 110
retract      32
Retract, deformation      51
Retraction      32
Scalar multiplication      195
Second axiom of countability      18
Separable space      25
Separation      76
Separation axiom      55
Separation axiom, Fr$\acute{e}$chet      57
Separation axiom, Hausdorff      55
SEQUENCE      10 71
Sequence, Cauchy      144
Set      1
Set, bounded      131
Set, dense      24
Set, derived      24
Set, directed      71
Set, empty      2
Set, locally bounded      133
Set, meager      153
Set, of the first category      153
Set, of the second category      153
Set, precompact      133
Singleton      2
Smaller topology      17
Solid space      96
Space      16
Space, $T_{1}$      57
Space, absolutely closed      162
Space, arcwise connected      89
Space, Banach      205
Space, bidual      219
Space, Cantor      70
Space, compact      61
Space, complete metric      145
Space, complete pseudo-metric      145
Space, complete uniform      181
Space, completely normal      61 127
Space, completely regular      57
Space, connected      77
Space, contractible      50
Space, coordinate      38
Space, countably compact      134
Space, disconnected      77
Space, discrete      16
Space, dual      213
Space, Euclidean      37 113 196 205
Space, Fr$\acute{e}$chet      57
Space, fully normal      70
Space, Hausdorff      55
Space, Hilbert      114 197 206
Space, indiscretc      17
Space, Lindelof      35 103
Space, linear      194
Space, locally compact      66
Space, locally connected      82
Space, locally contractible      88
Space, locally pathwise connected      87
Space, metric      105 112
Space, normal      57
Space, normed linear      204
Space, paracompact      68
Space, pathwise connected      84
Space, perfectly normal      127
Space, pseudo-metric      112
Space, quotient      43
Space, real Hilbert      114 197 206
Space, reduced metric      141
Space, regular      57
Space, separable      25
Space, sequentially compact      134
Space, solid      96
Space, topological      16
Space, topological linear      198
Space, topologically complete      162
Space, Tychonoff      57
Space, uniform      165
Space, uniformizable      172
Space, vector      195
spaces      16
Spaces, homeomorphic      29
Spaces, homotopically equivalent      52
Spaces, isotopically equivalent      53
Spaces, sum of      35
Spaces, topologically equivalent      29
Stone — $\check{C}$ech compactification      98
Strong deformation retract      51
Stronger topology      17
Sub-basic open set      17
Sub-basis of a topology      17
Sub-basis of a uniformity      17
Submetric function      140
Subnet      73
Subset      3 71
subspace      31
SUM      36
Sum, disjoint      41
Sum, topological      36
Surjective      7
Suspension      47 90
System of neighborhoods      19
Tietzc’s extension theorem      94
Topological group      164
Topological linear space      198 200 208
Topological map      29
Topological power      37
Topological product      37
Topological property      29 127
Topological space      16
Topological sum      36
Topologically equivalent      29
Topologized      16
topology      16
Topology, defined by a pseudo-metric      107
Topology, discrete topology      16
Topology, half open interval      20 93
Topology, identification      43
Topology, indiscrete      17
Topology, induced      29
Topology, product      37
Topology, quotient      43
Topology, relative      31
Topology, usual      17
Torus      47
Totally bounded set      180
Triangle inequality      105 204
Tychonoff space      57
Tychonoff’s imbedding theorem      91
Tychonoff’s theorem      64
Uniform property      177
Uniform space      165 166
Uniformity      163
Uniformity, of a pseudo-metric space      164
Uniformity, of a topological group      164
Uniformity, symmetric      166
Uniformization      172
Uniformly continuous      138 178
Uniformly convergent      144
union      3 4
Unit cell      41
Unit cube      37
Unit interval      3 31
Unit simplex      41
Unit sphere      41
Universe      185 186 187 190
Urysohn’s imbedding theorem      92
Urysohn’s lemma      58
Urysohn’s metrization theorem      122
Usual topology      17
Value      6
Weaker topology      17
Weakly hereditary property      101
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