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
Kuratowski K. — Introduction To Set Theory & Topology
Kuratowski K. — Introduction To Set Theory & Topology

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Introduction To Set Theory & Topology

Автор: Kuratowski K.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1961

Количество страниц: 281

Добавлена в каталог: 09.12.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$F_{\sigma}$-set      127
$G_{\SIGMA}$ - set      127
$n$ - dimensional chain      247
$n$ - dimensional cube      43
$n$ - dimensional space      43 227
$\mathcal{T}_{1}$- space      119
$\mathcal{T}_{2}$- space      129
Abelian group      244
Abscissa      50
Abscissaaxis      50
Absolute retract      150
Accessible point      271
Accumulation point      119
Additive family of sets      52
Aleph      93
Alexandrov theorem      167
Antinomy      74
Antipodes (theorem on)      274
Antoine arc      257
ARC      216
Arcwise connected space      217
Argument of a function      47
Axiom of Choice      45
Axioms of a topological space      118
Axioms of the theory of groups      244
Axioms of the theory of sets      32 44
Axis of abscissas      50
Axis of ordinates      50
Baire space      151
Baire theorem      165
Banach theorem      183 192
Barycentric coordinates      232
Base of a space      130 154
Betti group      251
Betti number      251
Bicompact space      190
Boolean algebra      33
Borel family of sets      55
Borel set      127
Borel theorem      171
Borel — Lebesgue theorem      172
Borsuk theorem      273
Borsuk — Ulam theorem      274
Boundary of a chain      248
Boundary of a set      123
Boundary set      124
Bounded function      111
Bounded space      110
Bounded, uniformly      110
Branch of a logarithm      258
Brouwer theorem      238
Cantor set      183
Cantor theorem      73 165 171
Cantor — Bendixson Theorem      162
Cantor — Bernstein theorem      75
cardinal number      see Power
Cartesian product      40 55 109
Cartesian product of metric spaces      109
Cauchy sequence      164
Chain      246
Characteristic function      58 72
Characteristic function of a sequence      211
Closed relation      130
Closed set      121
Closure of a set      116
Commutative group      244
Compact space      168
Complement of a set      30
Complete space      164
COMPLEX      247
Component      203
Condensation point      161
Conjunction      21
Connected set      197
Connected space      196
Connected space between sets      205
Constituant      35
Continuity of a function at a point      131
Continuous convergence      176
Continuous function      131 132
Continuous mapping      131 174 180
Continuous ordering      84
Continuum      207
Continuum Hypothesis      93
Continuum, power of the      68
Convergent sequence      57 112 120
Coordinate axes      50
Coset      245
Countable set      62
Countably additive family of sets      54
Countably multiplicative family of sets      54
Critical number      100
Cutting of a space      257
Cycles      249
Cycles homologous to each other      251
Cycles homologous to zero in a complex      249
Cycles, homologously independent      251
Darboux property      200
De Morgan formulas (laws), for propositions      22
De Morgan formulas (laws), for propositions (generalized)      38
De Morgan formulas (laws), for sets      31
De Morgan formulas (laws), for sets (generalized)      49
Dedekind cut      84
Dense in itself set      125
Dense ordering      83
Dense set      124
Derived set      120
Derived set of a transfinite order      163
Diagonal theorem      73
Diameter of a space      110
Difference axiom      32
Difference of ordinal numbers      100
Difference of sets      25
Dimension of a space      227
Disjoint sets      26
Disjunction      21
Distance between a point and a set      144
Distance between points      109
Distance between sets      152
Division of sets      35
Domain      47
Edge of a simplex      233
Eilenberg theorem      258
Element of a group      244
Element of a set      25
Empty set      26
Equality of powers      60
Equivalence of propositions      21
Equivalence relation      67
Equivalence set      67
Euclidean $n$-space, $\mathcal{E}^{n}$      43 228
Euler characteristic      254
Euler — Poincar$\acute{e}$ formula      254
Existence axiom      32
Existential quantifier      37
Exponentiation of cardinal numbers      70
Exponentiation of ordinal numbers      95
Extension of a continuous function      146
Face of a simplex      233
Factor group      see Quotient group
Family of additive sets      52
Family of Borel sets      55
First category set      165
Fixed point theorem      238
Fr$\acute{e}$chet space      152
Function of two variables      41
Gauss plane      256
General principle of choice      96
Generalized cartesian product      55
Generalized de Morgan formulas      38 49
Generalized operations      48
Greatest lower bound of a sequence of sets      57
Hausdorff space      129
Heine theorem      176
Hilbert cube      111
Hilbert space      110
Homeomorphic spaces      135
Homeomorphism      135
Homologous cycles      251
Homologously independent cycles      251
Homology group      251
Homomorphism      246
Homotopic functions      241
Image of a set      51
Implication      23
inclusion      28
Induction, transfinite      88
Infinite sequence      48
Infinitely countable set      62
Initial interval      83
Interior of a set      123
Intersection of sets      25
Inverse function      59 134
Inverse image      51
Isolated point      119
Isomorphism of groups      246
Janiszewski theorems      268
Jordan theorem      269
Kappa mapping      243
Kernel of a homomorphism      246
Lattice      85
Least upper bound of a sequence of sets      57
Least upper bound of an ordered set      84
Limit of a sequence of points      112 120
Limit ordinal number      95
Lindel$\ddot{o}$f theorem      155
Linearly independent cycles      251
Linearly independent points      232
Local arcwise connectedness      217
Local connectedness      214
Local separability      163
M$\ddot{o}$bius band      253
Mapping of $X$ onto $Y$      47
Mazurkiewicz Theorem      221
Mazurkiewicz — Moore theorem      221
Metric space      109
Mono tonic family of sets      85
Multiplicative family of sets      52
Negation      22
Neighborhood of a point      112 124 129
Neighborhood of a set      124
Neighborhood retract      150
Normal space      145
Nowhere dense set      125
Null set      26
One-to-one function (mapping)      59 134
Open set      121
Order type      82
Ordered pair      39
Ordered set      82
Ordering relation      81
Ordinal number      87
Ordinate      50
Ordinate axis      50
Oriented simplex      246
Partial function      51
Partial ordering      85
Partially ordered set      85
Peano theorem      222
Perfect set      126
Power      60
Power of cardinal numbers      see Exponentiation of cardinal numbers
Power of ordinal numbers      95
Power of the continuum      68
Product of cardinal numbers      68
Product of order types      94
Product of propositions      21
Product of sets, Cartesian      40
Product of sets, set-theoretic      25
Projection of a set      50
Projective plane      253
Proper subset      28
Propositional function      36
Propositional function of $n$ variables      43
Quantifier      37
Quasi-component      205
Quotient group      245
Quotient of a set and a relation      67
Quotient of ordinal numbers      100
Quotient of sets      35
RANGE      47
Rank      273
Region      256
Relation      41 48
Relative boundary      129
Relative closure      128
Relative interior      129
Relatively closed set      128
Relatively dense set      85
Relatively open set      128
Retract of a space      150
Retricted function      51
Riesz theorem      173
Ring      34
Russell antinomy      74
Scattered set      126
Separable space      154
Separated sets      197
Separation of the space      257
Sierpi$\acute{n}$ski theorem      218
Similar orderings      81
Similarity mapping      81
simplex      232
Simplex, oriented      246
Simplicial mapping      255
Simplicial subdivision      233
Simply connected region      275
Sperner theorem      234
Spherical neighborhood      112
Subbase      130
Subgroup      245
Subset      28
Subtractive family of sets      53
Sum of cardinal numbers      68
Sum of order types      94
Sum of propositions      21
Sum, set-theoretic (of sets)      25
Symmetric difference of propositions      24
Symmetric difference of sets      34
Term of a sequence      48
Tietze extension theorem      147
Tihonov theorem      191
Topological invariants      103
Topological space      118
topology      103
Totally bounded space      191
Transfinite induction      88
Transfinite sequence      100
Triangle inequality      109
Trichotomy      91
Unicoherent space      274
Uniform continuity of a function      43 175
Uniform convergence      44 139
Uniformly bounded      110
Union axiom      32
Union of sets      25
Uniqueness axiom      32
Universal quantifier      37
Urysohn theorem      159
Value of a function      47
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте