About: Topological manifolds

Documentation

scienceplus.abes.fr version Bêta

scienceplus.abes.fr | explorer

À propos de : Topological manifolds Goto Sponge NotDistinct Permalink

Attributs	Valeurs
type	Concept
skos:inScheme	MSC 2010
broader concept	Manifolds and cell complexes
narrower concept	Topology of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ E^2$"><mml:msup><mml:mi>E</mml:mi><mml:mn>E</mml:mn></mml:msup></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ 2$"><mml:mi>2</mml:mi></mml:math>-manifolds Topology of general <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ 3$"><mml:mi>3</mml:mi></mml:math>-manifolds <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ E^3$"><mml:msup><mml:mi>E</mml:mi><mml:mn>E</mml:mn></mml:msup></mml:math>和<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ S^3$"><mml:msup><mml:mi>S</mml:mi><mml:mn>S</mml:mn></mml:msup></mml:math>的拓扑 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ E^4$"><mml:msup><mml:mi>E</mml:mi><mml:mn>E</mml:mn></mml:msup></mml:math>的拓扑, 4维流形 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ E^n$"><mml:msup><mml:mi>E</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math>的拓扑, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ n$"><mml:mi>n</mml:mi></mml:math>-维流形(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$4 \less n \less \infty$"><mml:mn>4</mml:mn><mml:mo> &lt; </mml:mo><mml:mi>n</mml:mi><mml:mo> &lt; </mml:mo><mml:mi>∞</mml:mi></mml:math>) Geometric structures on manifolds Topology of topological vector spaces Topology of infinite-dimensional manifolds Shapes Engulfing Embeddings and immersions Isotopy and pseudo-isotopy Neighborhoods of submanifolds Flatness and tameness <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$S\subset E^n$"><mml:msup><mml:mi>S</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo>⊂</mml:mo><mml:msup><mml:mi>E</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math>, Schoenflies problem Microbundles and block bundles Cellularity Algebraic topology of manifolds Cobordism and concordance General position and transversality Stratifications None of the above, but in MSC2010 section 57Nxx
skos:prefLabel	Topological manifolds VarietÃ¡ topologiche 拓扑流形
skos:exactMatch	http://msc2010.org/resources/MSC/1991/57Nxx http://msc2010.org/resources/MSC/2000/57Nxx
skos:notation	57Nxx
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-514.223
is rdfs:seeAlso of	Functional analysis General topology Classical topics
is broader concept of	Topology of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ E^2$"><mml:msup><mml:mi>E</mml:mi><mml:mn>E</mml:mn></mml:msup></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ 2$"><mml:mi>2</mml:mi></mml:math>-manifolds Topology of general <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ 3$"><mml:mi>3</mml:mi></mml:math>-manifolds <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ E^3$"><mml:msup><mml:mi>E</mml:mi><mml:mn>E</mml:mn></mml:msup></mml:math>和<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ S^3$"><mml:msup><mml:mi>S</mml:mi><mml:mn>S</mml:mn></mml:msup></mml:math>的拓扑 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ E^4$"><mml:msup><mml:mi>E</mml:mi><mml:mn>E</mml:mn></mml:msup></mml:math>的拓扑, 4维流形 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ E^n$"><mml:msup><mml:mi>E</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math>的拓扑, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ n$"><mml:mi>n</mml:mi></mml:math>-维流形(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$4 \less n \less \infty$"><mml:mn>4</mml:mn><mml:mo> &lt; </mml:mo><mml:mi>n</mml:mi><mml:mo> &lt; </mml:mo><mml:mi>∞</mml:mi></mml:math>) Geometric structures on manifolds Topology of topological vector spaces Topology of infinite-dimensional manifolds Shapes Engulfing Embeddings and immersions Isotopy and pseudo-isotopy Neighborhoods of submanifolds Flatness and tameness <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$S\subset E^n$"><mml:msup><mml:mi>S</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo>⊂</mml:mo><mml:msup><mml:mi>E</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math>, Schoenflies problem Microbundles and block bundles Cellularity Algebraic topology of manifolds Cobordism and concordance General position and transversality Stratifications None of the above, but in MSC2010 section 57Nxx
is narrower concept of	Manifolds and cell complexes
is http://msc2010.org...msc2010#forTarget of	http://msc2010.org/resources/MSC/2010/46-XX-to-57Nxx-seeFor http://msc2010.org/resources/MSC/2010/54-XX-to-57Nxx-seeFor http://msc2010.org/resources/MSC/2010/55Mxx-to-57Nxx-seeFor
is http://msc2010.org...#seeConditionally of	Functional analysis General topology Classical topics
is skos:semanticRelation of	Functional analysis General topology Classical topics

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata