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Glaser L.C. — Geometrical Combinatorial Topology. Volume I
Glaser L.C. — Geometrical Combinatorial Topology. Volume I

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Название: Geometrical Combinatorial Topology. Volume I

Автор: Glaser L.C.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1970

Количество страниц: 169

Добавлена в каталог: 18.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$k$-simplex      3
$k$-simplex, barycenter of a      4
$k$-simplex, boundary of a      6
$k$-simplex, face of a      4
$k$-simplex, geometrical realization of a      3
$k$-simplex, interior of a      3
$k$-simplex, space of a      3
$k$-simplex, standard      4
$k$-simplex, TOP      56
$n$-ball      1
$n$-ball, combinatorial      18
$n$-ball, stellar      22
$n$-cell      1
$n$-cube      1
$n$-manifold, combinatorial      18
$n$-manifold, stellar      22
$n$-manifold, with boundary      1
$n$-sphere      1
$n$-sphere, combinatorial      18
$n$-sphere, stellar      22
$n$-th barycentric subdivision ($K^{(n)}$)      7
$n$-th derived ($\delta^{n}K$)      7
$S_{L}K$      70
Algebraically $q$-connected      111
Ball      1
Barycenter      4
Barycentric coordinates      4
Barycentric map      12
Barycentric subdivision ($K^{(n)}$)      7
Bing’s house with two rooms      51
Boundary of a complex      17
Boundary of a manifold      2 21
Boundary of a simplex      17
Boundary, mod 2      17
Cartesian product neighborhood      92
cell      1
Cellular      91
Collapsible      49
Collapsible neighborhood      55 72
Collapsing, elementary      49
Collapsing, geometrical      57 73
Collapsing, regular      73
Collapsing, simplicial      49
Combinatorial $n$-ball      18
Combinatorial $n$-manifold      18 19
Combinatorial $n$-sphere      18
Combinatorial equivalence ($\approx$)      41 (see also Piecewise linear homeomorphism)
Combinatorial subspace      111
Complementary complex      8
Complementary domain      2
Complete (or full)      55
Complex, barycentric coordinates of a      4 12
Complex, boundary of a      17
Complex, convex linear cell      9
Complex, dimension of a      4
Complex, geometrical realization of a      5
Complex, homogeneous      17
Complex, simplicial      4
Convex linear cell      9
cube      1
Derived (subdivision, $\delta K$)      7
Dunce hat      50 53 90
Elementary collapsing (simplicial)      49
Elementary geometrical collapsing      57
Elementary geometrical expansion      57
Elementary move      22
Elementary starring      8 22
Elementary welding      22
Engulfing lemma      128
Equivalence, combinatorial ($\approx$)      13 41
Equivalence, of stellar and combinatorial theory      41
Equivalence, stellar ($\sim$)      22 41
Euclidean $n$-space      1
Flat sphere      92
Full (or complete)      55
General position      2
General Position Lemma      104 124
General position, ratio changing      154
Generalized Schoenflies theorem      79 92
Geometrical collapsing      57 73
Geometrical expansion      57
Geometrically $q$-connected      112
Homogeneous (complex)      17
Interior (int)      1
Isomorphism ($\cong$)      12
Isotopy of polyhedra      145 147
Isotopy of pwl balls      143
Isotopy of pwl spheres      142
Isotopy PL      135
Join of balls and spheres      18
Join of complexes      6
Join of polyhedra      137
Join of simplexes      6
Lebesgue number      95
Linear map      14
Link of a simplex lk ($A$, $K$)      6
Linked complexes      88
Manifold      see $n$-manifold
Map, $\approx$      13
Map, $\cong$      12
Map, $\sim$      22
Map, barycentric      12
Map, linear      14
Map, normal      123
Map, piecewise linear (piw, PL)      13 14
Map, simplicial      12
Mesh (of a complex)      95
Normal map      123
Open simplicial neighborhood ($\bar{O}$($\Sigma$, $K$))      73
Open star $(\stackrel{\circ}{s}t(A, K))$      6 73
Orientation      135
Piecewise linear homeomorphism ($\approx$)      13 (see also Combinatorial equivalence)
Piecewise linear map (pwl, PL)      13
Piping      120
Piping, zero-dimensional      125
PLI      134
PLO      134
Poincar$\acute{e}$ conjecture, $n$-dimensional      112 133
Poincar$\acute{e}$ conjecture, three-dimensional      52 78
Point-like      91
Polyhedron      98 134
Prismatic triangulation      147
Ratio changing general position      154
Regular (in a complex)      19
Regular collapsing      57 73
Regular neighborhood      77
Relative simplicial approximation theorem      97
simplex      see $k$-simplex
Simplicial approximation theorem      95
Simplicial map      12
Simplicial neighborhood, ($N$($\Sigma$, $K$))      73
Simplicial neighborhood, ($N$($|X|$, $K$))      58
Sphere      see $n$-sphere
Standard $n$-simplex      4
Star of a simplex (st($A$, $K$)      6
Starring of a stellar ball      23
Starring, elementary      8 22
Starring, internal      23
Stellar ball      22
Stellar equivalence ($\si,$)      22
Stellar manifold      22
Stellar sphere      22
Stellar subcomplex      4
Stellar subdivision ($\sigma$)      8
Subdivisions      7
Subdivisions, arbitrary ($\alpha$, $\beta$)      7
Subdivisions, barycentric ($K’$)      7
Subdivisions, derived ($\delta$)      7
Subdivisions, stellar ($\sigma$)      8
Subpolyhedron      98
Tame arc      2
TOP simplex      56
Triangulation      49
Unknotting (of $S^{k}$ in $E^{n}$)      110
Vertex admissible function      12
Welding, elementary      22
Welding, internal      23
Whitehead’s regular neighborhood theorems      77
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