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McCoy R.A., Ntantu I. — Topological Properties of Spaces of Continuous Functions
McCoy R.A., Ntantu I. — Topological Properties of Spaces of Continuous Functions



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Название: Topological Properties of Spaces of Continuous Functions

Авторы: McCoy R.A., Ntantu I.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1988

Количество страниц: 124

Добавлена в каталог: 18.08.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$G_{\delta}$-subsets      94 95 103 105
$k$-cover      58 63
$k$-covering function      21 22
$k$-netweight      51 62
$k$-network      51 53 69
$k$-space      26 34 35 38 46 47 71 76 77 93 97 100 103
$k_{R}$-space      74-76 96 97 102
$q$-space      58 59 79 99 100
$\aleph_{0}$ - space      51 60 61
$\alpha$ - Arens number      57 58
$\alpha$ - Lindel$\ddot{o}$f degree      63
$\alpha$-$\alpha$-netweight      60
$\alpha$-cover      57-60
$\alpha$-netweight      51 52
$\alpha$-network      51 60
$\alpha$-sequence      64 65
$\alpha$-subcover      63 64
$\alpha$-weight      53
$\alpha_{R}$-space      75-77 102 105
$\check{C}$ech-complete space      75-77 101
$\omega$-cover      58 64
$\pi$-base      58 60 101
$\pi$-character      58
$\pi$-weight      60 61
$\sigma$-compact space      97 100
$\Sigma$-product      69
$\sigma$-space      71 101
$\tau$-continuous      72 73
$\tau$-embedded      72 73
Admissible topology      see Conjoining topology
Almost $\check{C}$ech-complete space      101
Almost $\sigma$-compact space      56 62 71 92 93
Almost onto function      19 20 22
Almost supported on a compact set      48
Analytic space      95-100
Ascoli theorem      45-47 91 92
Ascoli topology      45 46
Baire space      77-84 94 101 103 104
Banach — Mazur game      104
Borel sets      94 95 103
Can be approximated by      20 21 36
Cardinal function      51-73
cardinal number      51-73
Cellularity      53-55
CHARACTER      51 57 58
closed network      3-7 8 9 18-21 27-29 32 36-38 47
Compact convergence, topology of      see Compact-open topology
Compact network      3 5 6 8 9 10 27 31 33 36 37 41 51-
Compact subsets      43-49 88-91
Compact-covering function      21
Compact-open topology      4 10 12 17 21 24 26 30 32-34 36 38 42 46-49 53-56 61-73 69 71 75-79 91-93 96-97 100 103-105
Completely metrizable space      75-77 100 101
Composition function      16 17
Conjoining topology      31 32 41-48
Converges continuously, net of functions      40-42
Cosmic space      51 53 57 71 100
Countable chain condition (CCC)      54 68
Countably compact space      14 101 102
Countably compact subsets      88-91
Dense subsets      91-95 101-102 105
density      51 53-54
Diagonal degree      56
Diagonal function      16 25-26 36
Dugundji — Michael Extension Theorem      84-85
Equieontinuous functions      48 49
Evaluation function      23 24 32 34 41 42 44-46
Evaluation function at      24 25 36 44 45
Evenly continuous family of functions      43-48
Eventually supported on a compact set, sequence      48
Exact space      102
Exponential function      30-35 37 40 41 44-46
Fan tightness      70
Fine topology      13 36 37 103
First countable space      51 59 103 104
Frechet space      64 65 70 88 102 104
Functional tightness      73
Graph topology      13 14 37 48
Gruenhage game      103 104
Hedgehog space      62
Hemicompact space      58 60 61 68 76 79 85 87 100 103
Hereditarily closed network      5-7 9 36
Hereditarily strong $\Sigma$-space      71
Hereditary density      65-70
Hereditary Lindel$\ddot{o}$f degree      65-70
Hewitt number      72 73
Hurewicz space      70
Hyper-Ascoli topology      44-46
Hypo-Ascoli topology      45 46
Injection function      15 23 24
Lindel$\ddot{o}$f $\Sigma$-space      71
Lindel$\ddot{o}$f degree      63 64 68
Lindel$\ddot{o}$f space      64 68-71 103
Locally compact space      17 24 32 33 35 42 47 48 77-79 100
Logarithm of an infinite cardinal number      61 62
Metrizable (metric) space      10-12 54 55 59 62 68 69 71 75 76 84-90 92-94 97 100-103
Monolithic space      73
Moves off $\alpha$, a subfamily of $\alpha$      79 80
Netweight      51 52 54 69 71 73 100 105
Network      3 51-53 57 71 88 101 102
Normal space      69
p-space      102
Paracompact      69
Point countable type      72
Point-open topology      4 5 16 21 22 38 39 43 44 49 50 53 54 57 60-62 64 68-71 73 75-77 81-84 88-91 94 100-104
Pointwise bounded      44-49
Pointwise convergence, topology of      see Point-open topology
Polish space      77 95 97 98 100
Product function      27 28 37 38
Proper topology      44 45
Pseudocharacter      56
Pseudocompact space      13 78 101
Pseudocomplete space      101 105
Realcompact space      72
Second countable space      51 61
Separable space      51 54 57
Sequentially compact subsets      90
Set-open topology      3
Simple even continuity      49
Splitting topology      31 36 40-43 47 49
Stable space      73
Stone - Weierstrass Theorem      91 93
Strictly $r$-continuous      72 73
Strong $\Sigma$-space      71
Subalgebra      91
Sum function      28-30 36-38
Supported on a compact set      48
Supremum metric topology      10-12 14 54
Tightness      62-64 68 70 89 102
Topological games      103 104
Topological sum      28-30 36-38 55 56 58 59 76
Totally $m$-bounded topological group      55
Uniform completeness      74 75
Uniform convergence on $\alpha$      39
Uniform topology on $\alpha$      8-19 22 24 25 28 29 33 36 38 39 49 55
Uniformity (diagonal-)      7
Vietoris topology      14 65 67 105
W-space      104
Weak $\alpha$-covering number      56 61 62
Weak functional tightness      73
Weak weight      53 54 61 62 69 73
Weakly $\alpha$a-favorable space      104
Weakly conjoining topology      45-47
Weakly splitting topology      45 46
Weight      51-55 61 68 69 71 72 103 105
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