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Whyburn G.T. — Topological analysis
Whyburn G.T. — Topological analysis



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Название: Topological analysis

Автор: Whyburn G.T.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1958

Количество страниц: 126

Добавлена в каталог: 09.12.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
"Closed" manifold      83
"Coherently" oriented triangles      102
$\theta$-curve (Theta-curve)      31
2-cell (two-cell), closed      36
2-dimensional (two-dimensional) manifold      83
Accessibility      27
Acyclic curve      33
Admissible representation      56
Agreement in orientation of triangles      102
Agreement in sense of traversals      63 104
Applications of modulus function      77
ARC      26
Arcwise connectedness      25
Basis      6
Binormal mapping      81
Borel theorem      6
Boundary curve (edge)      83
Boundary of a set      12
Boundary point      83
Branch      56
Brouwer Reduction Theorem      15
Cauchy sequence      22
Cauchy – Riemann equations      52
Chain of type T      16
Characteristic, Euler      98
Circulation index      58
Closed 2-cell      36
Closed set      4
Compact mapping      90
Compact set      5
Complementary domain      32
Complete enclosure      22
Complete space      22
COMPLEX      98
Complex number system      41
Complex plane      44
Component      10
Conditionally compact set      5
Connected set      9
Continuity of a function      50
Continuous branch      56
Continuous transformation      20
Continuum      12
Continuum generalized      12
Continuum irreducible      14
Continuum of convergence      13
Convergent sequence of sets      7
Countable set      3
Curve acyclic      33
Curve boundary      83
Curve level      77
Curve open      100
Curve simple closed      28
Curved simplex      98
Cut point      33
Cyclic set      34
Cyclicly connected set      33
Deficiency of a function      101
Degree of a function      90
Dense      5 93
Derivative      51
Diameter      7
Differentiability conditions      52
Disjoint sets      3
Distance between two sets      7
Distance function      3
Domain, complementary      32
E-chain (epsilon chain)      10
Edge point      83
Edges of a graph      67
Elementary region      38
Enumerable set      3
Euler characteristic      98
Exponential function      53
Exponential representation      56
Extension of openness      81
Extension of transformations      22
Fine subdivision      17
Frontier      12
Function, exponential      53
Function, logarithm      55
Function, meromorphic      92
Function, modulus      77
Function, power      88
Function, upper semi-continuous      6
Fundamental (Cauchy) sequence      22
Generalized continuum      12
Graph      67
Hexagonal subdivision      32
Homeomorphism      20
Homeomorphism, positive (negative)      64
Homotopy      68
Hurwitz theorem      93 110
Image      20
INDEX      58
Index invariance      64 68
Index near a non-zero of the derivative      72
Index, topological or circulation      58
Inducible (inductive) property      14
Inferior limit      7
Interior mapping      76
Invariance of agreement in sense      63
Invariance of index      64 68
Inverse      20
Irreducible continuum      14
Isolated point      80
Isometric      23
Isomorphic (similar) simple subdivisions      38
Jordan curve theorem      29
Level curve      77
Light mapping      75
Lightness of differentiable functions      75
Limit of a function      50
Limit point      4
Limit superior      7
Limit theorem      11
Limit, inferior      7
Lindeloef theorem      5
Local degree of a function      84 101
Local topological analysis      88
Locally compact set      5
Locally connected set      13
Locally topological mapping (local homeomorphism)      85
Logarithm function      55
m-fold zero of a function      93
Manifolds orientable and non-orientable      102
Manifolds with boundary      83
Manifolds, 2-dimensional      83
Manifolds, ordinary or "closed,"      83
Manifolds, triangulation of 2-dimensional      102
Mapping theorems      24
Mappings compact      90
Mappings homotopic      68
Mappings light      75
Mappings locally topological      85
Mappings modulus      77
Mappings monotone      25
Mappings normal and binormal      81
Mappings open (interior)      76
Mappings power      88
Mappings quasi-open      110
Mappings strongly open (strongly interior)      76
Mappings topologically equivalent      86
Maximum modulus theorem      77
Measure of the image of the zeros of the derivative      72
Meromorphic function      92
Metric      3
Metric spaces      3
Modulus function (mapping)      77
Monotone mapping      25
Mutually exclusive sets      9
Negative homeomorphism      64
Negative traversal      62
Neighborhood, Spherical      4
Non-dense set      93
Non-orientable manifolds      104
Normal mapping      81
One-to-one (1-1) transformation      20
Open (interior) mapping      76
Open mappings on simple cells and manifolds      86
Open set      4
Openness of differentiable functions      76
Openness, uniform      108
Order n, point of      35
Ordinary ("closed") manifold      83
Ordinary (regular) point      83
Orientability and orientation      101
Orientable 2-dimensional manifolds      102
Orientation agreement of triangles      102
Phragmen – Brouwer Theorem      32
Plane separation theorem      34
Point inverse of a      20
Point inverse, scattered      83
Point isolated      80
Point limit      4
Point of order n      35
Point regular      35
Point, cut      33
Point, edge (boundary or singular)      83
Polar form (of a complex number)      45
Pole of a function      92
Positive homeomorphism      64
Positive traversal      62
Power mapping      88
Powers and roots      46
Property S      16
Punctured complex plane      69
Quasi-open mapping      110
Reduced differentiability assumptions      93
Reduction Theorem, Brouwer      15
Region      15
Regular (ordinary) point      35
Rouchd Theorem      93
S-property      16
Scattered inverse property      83
Semi-polygon      30
Sense agreement of traversals      63 104
Separability      5
Separation      9
Sequence uniformly open      108
Sequence, Fundamental (Cauchy)      22
Sets boundary of (frontier of)      12
Sets closed      4
Sets compact      5
Sets complete      22
Sets complete enclosure of      22
Sets components of      10
Sets conditionally compact      5
Sets connected      9
Sets convergent collection of      7
Sets countable (enumerable)      3
Sets cyclic      33
Sets cyclicly connected      34
Sets disjoint (mutually exclusive)      3
Sets non-dense      93
Sets open      4
Sets well-chained      10
Sets, arcwise connected      26
Sets, dense      5 93
Sets, diameter of      7
Sets, distance between      7
Sets, locally compact      5
Sets, locally connected      15
Sets, operations on      3
Sets, subdivision of      36
Sets, uniformly locally connected      16
Similar (isomorphic) simple subdivisions      38
Similarity correspondence      38
Simple arc      26
Simple closed curve      28
Simplex, curved      98
Simplex, sides of a      98
Singular point      98
Space, complete      22
Space, metric      3
Space, topologically complete      22
Spherical neighborhood      4
Straight 0-, 1-, 2-dimensional      98
Strongly open (strongly interior) mapping      76
Subdivision Theorem      36
Subdivisions hexagonal      32
Subdivisions isomorphic simple      38
Subdivisions simple      37
Subdivisions simplicial      98
Subdivisions, fine      17
Superior limit      7
Topological index      56
Topological transformations      20
Topologically complete space      22
Topologically equivalent mapping      86
Torhorst Theorem      32
transform      20
Transformation      20
Traversal of arcs and simple closed curves      60
Traversal of region boundaries and region subdivisions      67
Traversal, positive      62
Traversals, agreement in sense of      63 104
Triangles, "coherently" oriented      102
Triangulation of 2-dimensional manifold      102
Type T Chain      16
Uniform openness      108
Uniformly continuous transformation      21
Uniformly locally connected set      16
Uniformly open sequence      108
Upper semi-continuous function      5
Vertices of a graph      67
Vertices of a simplex      98
Well-chained set      10
Zero sides (0-sides) of a simplex      98
Zoretti Theorem      35
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