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Aleksandrov P.S. — Combinatorial topology. Volume 1
Aleksandrov P.S. — Combinatorial topology. Volume 1



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Название: Combinatorial topology. Volume 1

Автор: Aleksandrov P.S.

Аннотация:

Fundamental topological facts, together with detailed explanations of the necessary technical apparatus, constitute this clearly written, well-organized three-part text. Part 1 deals with certain classic problems without using the formal techniques of homology theory; parts 2 and 3 focus on the central concept of combinatorial topology, the Betti groups. Numerous detailed examples.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1956

Количество страниц: 237

Добавлена в каталог: 21.03.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Star, barycentric      144
Star, center of      126
Star, cyclic      73
Star, major      144
Star, neighborhood      137
Star, open      138
Star, semi      83
Star, semi-cyclic      73
Star, zone of      127
Strongly connected compactum      199
Strongly connected, polyhedron      201
Strongly connected, pure complex      72 200
Subcomplex      71
Subcomplex, closed      71 126
Subcomplex, open      71 126
Subdivision of a closed covering      100
Subdivision of a closed simplex      140
Subdivision of a polyhedral complex      139
Subdivision of triangulations      77
Subdivision, barycentric      78
Subdivision, central      140
Subdivision, elementary      141
Subdivision, regular      78
Subdivisions, chain of      191
Sum of sets (mod 2)      68
Sum of sets (mod 2), theorem      184
Sum, combinatorial      118
surface      76
Surface of genus p      108
Surface with boundary      76
Surface, boundary of      76
Surface, closed      73 76
Surface, contour of      76
Surface, nonorientable      95
Surface, normal      109
Surface, orient able      95
Surface, simple      104
System of sets      4
System of sets, triangulation of a surface      102
System of subsets      4
System of subsets, partially ordered      26
Three-dimensional ring      22
Tihonov      11 17 18
Topological circle      104
Topological circle, circumference      104
Topological circle, complex      149
Topological circle, mapping      10
Topological circle, n-manifold      24 198
Topological circle, polyhedron      118 149
Topological circle, simplex      149
Topological circle, space      4
Topological product      10
Topological product of a denumerable number of doublets      13
Topological product of a finite number of closed manifolds      24
Topological product of bicompacta      18
Topological product of compacta      18
Topological product of n lines      11
Topological product of n spheres      11
Topological product of n-spheres      24
Topological product of r closed segments      13
Topological product of r connected doublets      13
Topological product of r doublets      13
Topological product of sets      10
Topological product of spaces      10
Topological product of two lines      11
Topological product, spheres      11
Topology defined in a set      5
Topology, neighborhood      6
Topology, relative      5
Torus      11 21 22 81
Torus, n-dimensional      11 24
Torus, three-dimensional      21 150
Totally bounded metric space      30
triangle      71
Triangle, axiom      7
Triangle, oriented      93
Triangulation      71 118
Triangulation of a closed simplex      166
Triangulation of a closed surface      74
Triangulation of a Klein bottle      81
Triangulation of a Mdbius band      80
Triangulation of a polyhedron      71 137
Triangulation of a torus      81
Triangulation of the projective n-space      151
Triangulation of the projective plane      81 161
Triangulation, curved      73
Triangulation, dimension of      118
Triangulation, infinite      158
Triangulation, orientability of      94
Triangulation, subdivision of      77
Triangulations, examples of      119
True cycles      xiii xiv
Tumarkin      188 200
Turning function      63 2
Turning function, complex      71
Two-sided cut of the first kind      111
Two-sided cut of the second kind      111 2
Union of sets      2
Unrestricted simplicial complex      122 125
Unrestricted simplicial complex, skeleton complex      121
Urysohn      9 16 17 18 170 188 189
Urysohn’s theorem      9
Vertex      68 128
Vertex of a cone      214
Vertex of a finite system of sets      128
Vertex of a nerve      128
Vertex of a simplex      212
Vertex of a skeleton complex      78
Vertex, first      132
Vertex, last      132
Vertex, mapping      79
Weight of a space      7
Yoneyama      42 0
Yoneyama, element      67
Zone of a star      127
1 2 3
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