About: Geometry and topology

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In mathematics, geometry and topology is an umbrella term for the historically distinct disciplines of geometry and topology, as general frameworks allow both disciplines to be manipulated uniformly, most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and Chern–Weil theory. Sharp distinctions between geometry and topology can be drawn, however, as discussed below. It is also the title of a journal Geometry & Topology that covers these topics.

Attributes	Values
rdfs:label	هندسة وطوبولوجيا (ar) Geometry and topology (en)
rdfs:comment	في الرياضيات، تعتبر الهندسة والطوبولوجيا مصطلح شامل يضم الهندسة والطوبولوجيا، إذ أن الخط الفاصل بين هذين المصطلحين غالبًا ما يكون غير واضح، وهو أكثر وضوحًا في النظريات الرياضية المحلية إلى العالمية في هندسة ريمانيان، والنتائج مثل نظرية جوس - بونيه الرياضية ونظرية شيرين - ويل. ورغم ذلك يمكن وضع خطوط مميزة واضحة بين الهندسة والطوبولوجيا، كما تمت مناقشته أدناه. وهو أيضًا عنوان صحيفة الهندسة والطوبولوجيا الذي يغطي هذه الموضوعات. (ar) In mathematics, geometry and topology is an umbrella term for the historically distinct disciplines of geometry and topology, as general frameworks allow both disciplines to be manipulated uniformly, most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and Chern–Weil theory. Sharp distinctions between geometry and topology can be drawn, however, as discussed below. It is also the title of a journal Geometry & Topology that covers these topics. (en)
dcterms:subject	Geometry Topology
Wikipage page ID	14201348 (xsd:integer)
Wikipage revision ID	1024172304 (xsd:integer)
Link from a Wikipage to another Wikipage	Algebraic topology Curvature of Riemannian manifolds Umbrella term Deformation (engineering) Mathematics Geometric topology Geometry & Topology Low-dimensional topology Gauss–Bonnet theorem Geometry Totally disconnected Fundamental group Symplectic manifold Geometry Topology Hawaiian earring Algebraic geometry Algebraic varieties Topology Ambient isotopy Euclidean space Exotic R4 Darboux's theorem Riemannian geometry Riemannian manifold Isometry Surgery theory Symplectic geometry Coarse structure Homotopy Homotopy theory Moduli space Differentiable manifold Infinitesimal Algebraic surgery theory Metric space Topological space Chern–Weil theory Symplectic topology Differential geometry and topology
sameAs	Geometry and topology Geometry and topology Geometry and topology Geometry and topology
dbp:wikiPageUsesTemplate	dbt:Citation_needed dbt:Clarify dbt:Efn dbt:For dbt:Notelist dbt:Reflist
has abstract	في الرياضيات، تعتبر الهندسة والطوبولوجيا مصطلح شامل يضم الهندسة والطوبولوجيا، إذ أن الخط الفاصل بين هذين المصطلحين غالبًا ما يكون غير واضح، وهو أكثر وضوحًا في النظريات الرياضية المحلية إلى العالمية في هندسة ريمانيان، والنتائج مثل نظرية جوس - بونيه الرياضية ونظرية شيرين - ويل. ورغم ذلك يمكن وضع خطوط مميزة واضحة بين الهندسة والطوبولوجيا، كما تمت مناقشته أدناه. وهو أيضًا عنوان صحيفة الهندسة والطوبولوجيا الذي يغطي هذه الموضوعات. (ar) In mathematics, geometry and topology is an umbrella term for the historically distinct disciplines of geometry and topology, as general frameworks allow both disciplines to be manipulated uniformly, most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and Chern–Weil theory. Sharp distinctions between geometry and topology can be drawn, however, as discussed below. It is also the title of a journal Geometry & Topology that covers these topics. (en)
gold:hypernym	Term
prov:wasDerivedFrom	wikipedia-en:Geometry_and_topology?oldid=1024172304&ns=0
page length (characters) of wiki page	4672 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Geometry_and_topology
is Link from a Wikipage to another Wikipage of	Oswald Veblen Prize in Geometry Manifold Classification of manifolds Wormhole Non-Hausdorff manifold Yuli Rudyak
is foaf:primaryTopic of	wikipedia-en:Geometry_and_topology

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