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Hu S.-T. — Elements of general topology
Hu S.-T. — Elements of general topology

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Название: Elements of general topology

Автор: Hu S.-T.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1969

Количество страниц: 214

Добавлена в каталог: 16.12.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$T_{1}$-space      57
1-simple      188
Able to distinguish points      91
Abstract cell      128
Abstract nerve      116
Abstract simplex      111
Abstract simplicial complex      115
Accumulation point      24
Adjunction space      121—122
Admissible topology      155
Agree      10
ARC      89
Arc-component      89
Arcwise connected      89
Associated function      158
Association      158
Associative law      3 179
Axiom of Choice      1 65
Axioms of countability      18—19
Axioms of separation      55
Base point      171 186
Basic neighbourhood      17—19
Basic open set      17—19
Basis      17—19
Basis of neighborhoods      19
Basis, local      19
Bijective      8
Binary relation      70
Boundary      21
Boundary of a simplex      113
Boundary point      21
Cantor space      70
Carrier      136
Cartesian power      12—13
Cartesian product      12—13
cell      41 128
Cell, abstract n-cell      128
Cell, closed n-cell      131
Cell, open n-cell      129
Cellular carrier      136
Cellular homotopy      149
Cellular map      149
Cellular polytope      128—129
Characteristic function      10 94
Characteristic map      128
Closed map      29
Closed n-cell      131
Closed set      22
Closed star      120
Closed unit n-cell      41
Closure      23
Closure operator      26
Closure-finite      137
Cluster point      24
Coarser topology      17
Cofinal function      73
Cofinal subset      71
Collapsing a set to a point      44
Combinable functions      10
Combined function      10
Commutative diagrams      9 32 34 166
Commutative law      3
Compact set, space      61
Compact set, space, locally compact space      66
Compact-open topology      151
Compactification      103
Compactification, Hausdorff      107
Compactification, one-point      103
Compactification, Stone-$\check{C}$ech      104
Complement      4
Completely normal      61
Completely regular      57
Complex, abstract simplicial      115
Complex, CW-      137
Complex, simplicial      117
Component      79
Component, arc      89
Component, path      84
Composition of functions      8
Cone      45—46
Cone, mapping      46
Connected in a space      77
Connected set, space      77—78
Connected set, space, arcwise connected      89
Connected set, space, locally connected      82
Connected set, space, locally pathwise connected      87—88
Connected set, space, path wise connected      84
Connected set, space, simply connected      176
Constant function      7
Constant map      27
Contained in; contains      2
continuous      27
Continuous family      47
Continuous multiplication      173
Continuous, uniformly      103
Contractible      50
Contractible, locally      88
Contraction      50
Converge      71
Coordinate set      12
Coordinate space      38
Countability axioms      18
Cover; covering      10
Cover; covering, open covering      33
Covering homotopy property      195
Covering path property      194
cube      37
Cube, Hilbert      92
CW-complex      137
Cylinder      45
d*-topology      167
De Morgan formulae      4
Decomposition      43
Decomposition space      43
Deformation      50
Deformation retract      51
Degree      196
Dense      24
Dense, nowhere dense      70
Derived set      24
Diagonal      39
Diagonal imbedding      39
Diagonal injection      13 39
Difference of sets      3
DIMENSION      121
Dimension of a cellular polytope      143
Dimension, inductive      111
Direct binary relation      70
Direct product      202
Directed set      71
Disconnected      77
Discrete space      16
Discrete topology      16
Disjoint family      35
Disjoint sets      4
Disjoint sum      41
Distance from a point to a set      100
Distance function      97
Distributive law      4
Domain      6
Element      2
Element, neutral      180
Empty set      2
EQUIVALENCE      43
Equivalence class      43
Equivalence class of paths      175
Equivalence, homotopy      51
Equivalence, isotopy      52
Equivalence, topological      29
Euclidean space      37
Evaluation function      15 155
Eventually in      71
Exponential map      194
Extended real line      107
Extension of a function      9
Extension of a map      32
Extension problem      32
Extension property      96
Extension property, homotopy      147
Exterior      21
Exterior point      21
Face      113
Face, improper      113
Family      1
Final point      84 176
Final projection      174
Finer topology      17
Finite cellular polytope      136
Finite character      65
Finite intersection property      62
Finite polytope      121
Finite-open topology      151
First axiom of countability      19
Fixed point theorem      81
Frechet separation axiom      57
Frechet space      57
Frequently in      71
Frontier      21
Frontier point      21
Fully normal      70
Function      6
Function, associated      158
Function, characteristic      10
Function, cofinal      73
Function, combined      10
Function, constant      7
Function, continuous      27
Function, distance      97
Function, evaluation      15 155
Function, exponential      194
Function, identity      8
Function, inclusion      8
Function, inverse      8
Functions, combinable      10
Functions, composable      8
Fundamental group      186
Fundamental groupoid      184
Group      180
Groupoid      179
H-space      174
Half open interval topology      20 93
Hausdorff compactification      107
Hausdorff compactification, maximal      107
Hausdorff separation axiom      55
Hausdorff space      55
Heine — Borel theorem      61
Hereditary family of sets      115
Hereditary property      108
Hereditary property, weakly      108
Hilbert cube      92
Homeomorph      29
Homeomorphic spaces      29
Homeomorphism      29
Homomorphism      189
Homotopic maps      48
Homotopically equivalent      52
Homotopy      47
Homotopy class      49
Homotopy equivalence      51
Homotopy extension property      147
Homotopy group      200 204
Homotopy property      53
Homotopy unit      174
Homotopy, cellular      149
Hopf space      174
Idempotent      174 181
Identification      42
Identification topology      43
Identity function      8
identity map      27
Image      6
Image, inverse      7
Imbedding      34
Improper face      113
inclusion      2
Inclusion function      8
Inclusion map      31
Index set      11
Indexed family      10
Indexed family of spaces      35
Indiscrete space      17
Indiscrete topology      17
Induced homomorphism      189—191
Induced map      163 165
Induced topology      29—31
Inductive dimension      111
Initial point      84 176
Initial projection      174
Injection      163
Injection, diagonal      13 39
Injective      8
Interior      21
Interior of a simplex      113
Interior operator      26
Interior point      21
Intersection      3
Inverse element      180
Inverse function      8
Inverse image      7
Inverse path      185
Isolated point      107
Isometric      102
Isomorphic complexes      116
Isotopic maps      49
Isotopically equivalent      53
Isotopy      47
Isotopy class      49
Isotopy equivalence      52
Isotopy property      53
Klein bottle      47 124
Larger topology      17
Largest topology      20
Left unit      177
LIMIT      73
Limit point      24
Lindeloef space      35 109
Lindeloef’s theorem      35
Local basis      19
Locally compact      66
Locally connected      82
Locally contractible      88
Locally finite      67
Locally finite cellular polytope      138
Locally finite simplicial polytope      121
Locally pathwise connected      87—88
Loop      171
Loop space      171
MAP      27
Mapping      27
Mapping cone      46
Mapping cylinder      45
Mapping space      150
Maximal compactification      107
Member      1
Metric      97
Metric space      99
Metric topology      97 121
Metrizable      97
Mobius strip      46
Moore-Smith convergence      70
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