Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Seebach J.A., Steen L.A. — Counterexamples in Topology
Seebach J.A., Steen L.A. — Counterexamples in Topology



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Counterexamples in Topology

Авторы: Seebach J.A., Steen L.A.

Аннотация:

This compendium contains significant examples of topological spaces, each analyzed in detail. Numbering almost 150, the examples range from the familiar to the obscure and are preceded by a succinct exposition of general topology and basic terminology and theory. Oveer 25 Venn diagrams and reference charts summarize the examples` properties and allow the reader to scan quickly for examples with prescribed properties.


Язык: en

Рубрика: Математика/Геометрия и топология/Общая топология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1970

Количество страниц: 210

Добавлена в каталог: 20.11.2004

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Rational numbers      59
Reference charts      161—171
Reference charts, compactness      164
Reference charts, connectedness      167
Reference charts, disconnectedness      168
Reference charts, metrizability      169
Reference charts, paracompactness      166
Reference charts, separation axiom      163
refinement      22
Refinement, locally finite      22
Refinement, point finite      22
Refinement, star      23
Regular      12
Regular closed set      6
Regular open set      6
Regular, completely      14
Regular, semi-      17
Relation      38
Relative to      4
Relative topology      4
Right half-open interval topology      75
Right order topology      74
Roy's space      143
Saturated set      190
Scattered      33
Second category      7
Second countable      7 22
Semiregular      17
Separable      7 21
Separable completely      7
Separable perfectly      7
Separated      28
Separated by open sets      11
Separated quasiuniformity      38
Separated sets      7
Separated totally      32
Separation      28
Separation axioms      11 191
Sequence, accumulation point of      5
Sequence, Cauchy      36
Sequence, convergence of      5
Sequence, limit point of      5
Sequentially compact      19
Set closed      3
Set dense      7
Set derived      5
Set filtered      9
Set open      3
Set perfect      6
Set saturated      190
Set separated      7
Set, $F_\sigma^-$      3
Set, $G_\delta^-$      4
Set, Bernstein's connected      142
Set, boundary of      6
Set, Cantor      57
Set, closure of      6
Set, connected      7 28
Set, exterior of      7
Set, first category      7
Set, frontier of      6
Set, interior of      6
Set, meager      7
Set, Miller's      148
Set, nested sequence of      37
Set, nowhere dense      7
Set, regular closed      6
Set, regular open      6
Sierpinski metric      15
Sierpinski space      44
Smaller topology      3
Smirnov's topology      86
Sorgenfrey's topology      103
Space connected      28
Space normal      12
Space ordinal      68
Space regular      12
Space semiregular      17
Space separable      7
Space topological      3
Space, $T_i$      11
Space, Appert      117
Space, Arens — Fort      54
Space, Bing's      157
Space, completely Hausdorff      13
Space, completely normal      12
Space, Duncan's      153
Space, Fort      52
Space, Frechet      11
Space, Gustin's      142
Space, Hausdorff      11
Space, Helly      127
Space, Hilbert      64
Space, Kolmogorov      11
Space, metric      34
Space, Novak      134
Space, product      8
Space, quasiuniform      38
Space, quotient      9
Space, Roy's      143
Space, Sierpinski      44
Space, Tangoru's      150
Space, Tychonoff      14
Space, Urysohn      16
Spec A      79
Square, Alexandroff      120
Square, Arens      98
Star      23
Star refinement      23
Stone — Cech compactification      129
Strictly coarser filter      10
Strictly finer filter      10
Stronger topology      3
Strongly connected      198
Strongly locally compact      20
Subbase, of a filter      9
Subbase, of a topology      4
Subbasis      4
Subbasis equivalent      4
Subcovering, irreducible      23
subspace      4
Subspace topology      4
Subspace, Michael's      157
Sum, topological      9
Symmetric base (for a quasiuniformity)      38
Symmetric entourage      38
Tangent disc topology      100
Tangora's space      150
Thomas' corkscrew      113
Thomas' plank      113
Tietze extension theorem      20
Topological invariant      8
Topological property      8
Topological space      3
Topological sum      9
Topologically complete      37
Topologically equivalent      8
Topologists's sine curve      137
topology      3
Topology coarser      3
Topology cofinite      49
Topology comparable      3
Topology discrete      41
Topology Euclidean      56
Topology finer      3
Topology indiscrete      42
Topology induced      4
Topology larger      3
Topology relative      4
Topology smaller      3
Topology stronger      3
Topology usual      56
Topology weaker      3
Topology, closed extension      44
Topology, finite complement      49
Topology, half-open interval      75
Topology, half-open square      103
Topology, identification      9
Topology, interval      66
Topology, lower limit      75
Topology, Michael's      105
Topology, Niemytzki's      100
Topology, open extension      47
Topology, order      66
Topology, p-adic      81
Topology, particular point      44
Topology, right half-open interval      75
Topology, right order      74
Topology, Smirnov      86
Topology, Sorgenfrey's      103
Topology, subspace      4
Topology, tangent disc      100
Topology, Tychonoff      8 189
Totally bounded      36
Totally disconnected      31
Totally pathwise disconnected      31
Totally separated      32
Tychonoff corkscrew      109
Tychonoff plank      106
Tychonoff space      14
Tychonoff topology      8 189
Tyehonoff theorem      26
Ultraconnected      29
Ultrafilter      10
Ultrafilter fixed      10
Ultrafilter free      10
Ultrafilter nonprincipal      10
Ultrafilter principal      10
Uniformity      38
Uniformity compatible      38
Uniformity discrete      42
Urysohn function      13
Urysohn lemma      13
Urysohn space      16
Usual topology      56
Weaker topology      3
Weakly countably compact      19
Weakly hereditary      4
Zero dimensional      33
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте