About: Fiber spaces and bundles

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Abstract manifolds and fiber bundles Holomorphic fiber spaces Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) Characteristic classes and numbers Topology of vector bundles and fiber bundles Vector fields, frame fields
skos:inScheme	MSC 2010
broader concept	Algebraic topology
narrower concept	Fiber spaces Fiber bundles Transfer Classification Spectral sequences and homology of fiber spaces Sphere bundles and vector bundles Classifying spaces of groups and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ H$"><mml:mi>H</mml:mi></mml:math>-spaces Maps between classifying spaces Homology of classifying spaces, characteristic classes Homology and homotopy of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$$"><mml:mi>B</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$$"><mml:mi>B</mml:mi><mml:mi mathvariant="normal">U</mml:mi></mml:math>; Bott periodicity Stable classes of vector space bundles, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory Fiberings with singularities Microbundles and block bundles Generalizations of fiber spaces and bundles Fibrewise topology Discriminantal varieties, configuration spaces Equivariant fiber spaces and bundles None of the above, but in MSC2010 section 55Rxx
skos:prefLabel	Fiber spaces and bundles 纤维空间和纤维丛
skos:altLabel	纤维空间和纤维丛[参见18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25] Fiber spaces and bundles [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25]
http://msc2010.org...0/msc2010#seeAlso	Abstract manifolds and fiber bundles Holomorphic fiber spaces Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) Characteristic classes and numbers Topology of vector bundles and fiber bundles Vector fields, frame fields
skos:closeMatch	from MSC1991 value of: Fiber spaces and bundles, [See also 18F15, 32Lxx, 46M20, { 57Rxx] {57R20, 57R22, 57R25}} from MSC2000 value of: Fiber spaces and bundles [See also 18F15, 32Lxx, 46M20, \CMPonly{57Rxx]\FullScheme{57R20, 57R22, 57R25}}
skos:notation	55Rxx
skos:note	See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25.
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-514.224
skos:semanticRelation	Abstract manifolds and fiber bundles Holomorphic fiber spaces Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) Characteristic classes and numbers Topology of vector bundles and fiber bundles Vector fields, frame fields
is rdfs:seeAlso of	Abstract manifolds and fiber bundles Holomorphic fiber spaces <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory and operator algebras (including cyclic theory) Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) Global differential geometry Topology of vector bundles and fiber bundles
is broader concept of	Fiber spaces Fiber bundles Transfer Classification Spectral sequences and homology of fiber spaces Sphere bundles and vector bundles Classifying spaces of groups and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ H$"><mml:mi>H</mml:mi></mml:math>-spaces Maps between classifying spaces Homology of classifying spaces, characteristic classes Homology and homotopy of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$$"><mml:mi>B</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$$"><mml:mi>B</mml:mi><mml:mi mathvariant="normal">U</mml:mi></mml:math>; Bott periodicity Stable classes of vector space bundles, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory Fiberings with singularities Microbundles and block bundles Generalizations of fiber spaces and bundles Fibrewise topology Discriminantal varieties, configuration spaces Equivariant fiber spaces and bundles None of the above, but in MSC2010 section 55Rxx
is narrower concept of	Algebraic topology
is http://msc2010.org...msc2010#forTarget of	http://msc2010.org/resources/MSC/2010/53Cxx-to-55Rxx-seeFor
is http://msc2010.org...0/msc2010#seeAlso of	Abstract manifolds and fiber bundles Holomorphic fiber spaces <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory and operator algebras (including cyclic theory) Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) Topology of vector bundles and fiber bundles
is http://msc2010.org...#seeConditionally of	Global differential geometry
is skos:semanticRelation of	Abstract manifolds and fiber bundles Holomorphic fiber spaces <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory and operator algebras (including cyclic theory) Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) Global differential geometry Topology of vector bundles and fiber bundles

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