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Vasil'ev V. A., Sossinski A. — Introduction to Topology
Vasil'ev V. A., Sossinski A. — Introduction to Topology



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Название: Introduction to Topology

Авторы: Vasil'ev V. A., Sossinski A.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 149

Добавлена в каталог: 03.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$CW$-complex      26
$C^{r}$-diffeomorphism      49
$C^{r}$-metric in a space of functions      57
$C^{r}$-structure      51
$k$-skeleton      27
$n$-dimensional homotopy group      12
$n$th homotopy group      12
Alexander duality      126
Alexander isomorphism      126
Atlas      50
Atlas, equivalent      51
Atlas, orienting      52
Attaching of a topological space by a map      6
Attaching the handle      106
Axioms of homology theory      83
Barycentric subdivision      87
Base of a bundle      42
Basis of a topology      2
Betti number      70
Bockstein homomorphism      86
Borel — Moore homology group      125
Borsuk pair      26
Bundle      41
Cell space      25
Cell space, axioms      26
Cell space, structure      26
Cellular complex      95
Cellular map      28
Cellular pair      30
Chain complex      69
Chain homotopy      80
Chains homologous      73
Characteristic map      26
Chart on a manifold      51
Closed set      2
Closure of a subset      2
Coboundaries      120
Cocycle fundamental      143
Cocycles      120
Cohomology      120
Cohomology group      120
Compactification      125
Compactification one-point      125
Continuous map      3
Coorientation      111
Cover, inscribed      55
Cover, locally finite      55
Covering      21
Critical values      60
CYCLE      81
Cycle of a chain complex      70
Cylinder      6
de Rham complex      144
Deformation retraction      29
Deformation retraction strong      29
Degree      75
Degree, of a map      61 132
Discrete topology      2
Dual group      119
Equivalent coverings      22 31
Euler characteristic      68 70
Exact sequence      39
Exact sequence, of a fiber bundle      48
Exact sequence, short      84
Fiber bundles equivalent      43
Fiber of a bundle      42
Fiber product      45
Folding point      61
Functoriality      17
Fundamental group      10
Gradient-like vector field      107
Grassmannian      21
Grassmannian, oriented      21
Group, graded      138
Handle      106
Hausdorff space      4
Homeomorphism      3
Homology      81
Homology group      69
Homology group, absolute      84
Homology group, cellular      96
Homology group, relative      84
Homomorphism of complexes      78
Homotopic maps      9
Homotopy equivalence      14
Homotopy equivalent spaces      14
Hopf fibration      42
Immersion      60
Incidence coefficient      96
Index of a singular point      66
Index of a singular point of a function      105
Index of a singular point of a vector field      66
Jacobi matrix      49
Jacobian      49
Klein bottle      42
Lifting      22
Linking index      127
Loop      10
Manifold      50
Manifold, closed      52
Manifold, diffeomorphic      52
Manifold, orientable      52
Manifold, oriented      52
Map good      61
Mayer — Vietoris sequence      90
Metric space      2
Morse complex      113
Morse function      103
Morse singular point      103
Naturality      18
Orientation of a manifold      52
Orientation of a simplex      71
Partition of unity      55
Path geodesic      57
Poincar$\acute{e}$ duality      122
Poincar$\acute{e}$ isomorphism      122
Poincar$\acute{e}$ — Lefschetz duality      125
Point critical of a map      60
Point regular      59
Point singular isolated      66
Point singular of a function      103
Point singular of a map      60
Polyhedron simplicial      72
Polyhedron simplicial, finite-dimensional      72
Pontryagin multiplication      144
Projection      42
Quotient topology      5
Reduced homology groups      86
Regular Morse function      107
Relative cochains      120
Relative cohomology group      120
Resolution simplicial      91
retract      29
Retraction      29
Riemannian metric      57
Schubert cell      99
Schubert symbol      99
Section of a bundle      66
Semi-exactness      69
Separatrix manifolds of a singular point      105
Simplex singular $i$-dimensional      79
Simplex standard      71
Singularity of type $A_{2}$      116
Smooth manifold      51
Smooth map of class $C^{r}$      51
Space tangent      53
Sphere $n$-dimensional      6
Spheroid      13
Strongly Morse function      103
Structure Riemannian      55
Subdivision      78
Submersion      60
Support of a function      55
Support of a polyhedron      71
Tangent bundle      54
Tensor product      138
Topological space      1
Topological space, $k$-connected      29
Topological space, compact      7
Topological space, contractible      29
Topological space, locally $k$-connected      29
Topological space, locally contractible      29
Topological space, paracompact      55
Topological space, simply connected      29
Topological structure      1
topology      1
Topology, induced      3
Torsion      70
Total index of a vector field      132
Total space of a bundle      42
Transition map      51
Transversal maps      123
Transversal pair      123
Triangulation      72
Trivial bundle      42
Trivialization of a fiber bundle      43
Vector field      66
Vector tangent      53
Wedge product of spaces      17 92
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