DBpedia – Linked Data Fragments

Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Topology> ?p ?o }

• Topology abstract "In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching and bending, but not tearing or gluing. This can be studied by considering a collection of subsets, called open sets, that satisfy certain properties, turning the given set into what is known as a topological space. Important topological properties include connectedness and compactness.Topology developed as a field of study out of geometry and set theory, through analysis of such concepts as space, dimension, and transformation. Such ideas go back to Gottfried Leibniz, who in the 17th century envisioned the geometria situs (Greek-Latin for \"geometry of place\") and analysis situs (Greek-Latin for \"picking apart of place\"). Leonhard Euler's Seven Bridges of Königsberg Problem and Polyhedron Formula are arguably the field's first theorems. The term topology was introduced by Johann Benedict Listing in the 19th century, although it was not until the first decades of the 20th century that the idea of a topological space was developed. By the middle of the 20th century, topology had become a major branch of mathematics.Topology has many subfields:General topology establishes the foundational aspects of topology and investigates properties of topological spaces and concepts inherent to topological spaces. It includes point-set topology, which is the foundational topology used in all other branches (including topics like compactness and connectedness).Algebraic topology tries to measure degrees of connectivity using algebraic constructs such as homology and homotopy groups.Differential topology is the field dealing with differentiable functions on differentiable manifolds. It is closely related to differential geometry and together they make up the geometric theory of differentiable manifolds.Geometric topology primarily studies manifolds and their embeddings (placements) in other manifolds. A particularly active area is low-dimensional topology, which studies manifolds of four or fewer dimensions. This includes knot theory, the study of mathematical knots.".
• Topology thumbnail Möbius_strip.jpg?width=300.
• Topology wikiPageExternalLink 23.htm.
• Topology wikiPageExternalLink topology.
• Topology wikiPageExternalLink topgpds.html.
• Topology wikiPageExternalLink hmath1-whitney10.pdf.
• Topology wikiPageExternalLink zoo.
• Topology wikiPageExternalLink defs.txt.
• Topology wikiPageExternalLink index.html.
• Topology wikiPageID "29954".
• Topology wikiPageLength "31210".
• Topology wikiPageOutDegree "208".
• Topology wikiPageRevisionID "708186665".
• Topology wikiPageWikiLink 4-manifold.
• Topology wikiPageWikiLink Abstract_algebra.
• Topology wikiPageWikiLink Algebraic_geometry.
• Topology wikiPageWikiLink Algebraic_topology.
• Topology wikiPageWikiLink Analysis_Situs_(paper).
• Topology wikiPageWikiLink Augustin-Louis_Cauchy.
• Topology wikiPageWikiLink Bernhard_Riemann.
• Topology wikiPageWikiLink Betti_number.
• Topology wikiPageWikiLink Braggadocio_(typeface).
• Topology wikiPageWikiLink Calculus.
• Topology wikiPageWikiLink Cantor_set.
• Topology wikiPageWikiLink Category:Mathematical_structures.
• Topology wikiPageWikiLink Category:Topology.
• Topology wikiPageWikiLink Category_theory.
• Topology wikiPageWikiLink Cesare_Arzelà.
• Topology wikiPageWikiLink Characteristic_class.
• Topology wikiPageWikiLink Circle.
• Topology wikiPageWikiLink Classification_theorem.
• Topology wikiPageWikiLink Clopen_set.
• Topology wikiPageWikiLink Closed_set.
• Topology wikiPageWikiLink Cohomology.
• Topology wikiPageWikiLink Compact_space.
• Topology wikiPageWikiLink Complex_plane.
• Topology wikiPageWikiLink Configuration_space.
• Topology wikiPageWikiLink Connectedness.
• Topology wikiPageWikiLink Continuous_function.
• Topology wikiPageWikiLink Covering_space.
• Topology wikiPageWikiLink Cowlick.
• Topology wikiPageWikiLink Cross-cap.
• Topology wikiPageWikiLink Deformation_theory.
• Topology wikiPageWikiLink Differentiable_function.
• Topology wikiPageWikiLink Differentiable_manifold.
• Topology wikiPageWikiLink Differential_geometry.
• Topology wikiPageWikiLink Differential_topology.
• Topology wikiPageWikiLink Edward_Witten.
• Topology wikiPageWikiLink Electrophoresis.
• Topology wikiPageWikiLink Enrico_Betti.
• Topology wikiPageWikiLink Equivariant_topology.
• Topology wikiPageWikiLink Euclidean_space.
• Topology wikiPageWikiLink Euler_characteristic.
• Topology wikiPageWikiLink Evolutionary_biology.
• Topology wikiPageWikiLink Exercise_(mathematics).
• Topology wikiPageWikiLink Family_of_sets.
• Topology wikiPageWikiLink Felix_Hausdorff.
• Topology wikiPageWikiLink Fields_Medal.
• Topology wikiPageWikiLink File:Konigsberg_bridges.png.
• Topology wikiPageWikiLink File:Mug_and_Torus_morph.gif.
• Topology wikiPageWikiLink Font.
• Topology wikiPageWikiLink Fourier_series.
• Topology wikiPageWikiLink Free_group.
• Topology wikiPageWikiLink Function_(mathematics).
• Topology wikiPageWikiLink Fundamental_group.
• Topology wikiPageWikiLink General_topology.
• Topology wikiPageWikiLink Genotype.
• Topology wikiPageWikiLink Genus_(mathematics).
• Topology wikiPageWikiLink Geometric_topology.
• Topology wikiPageWikiLink Geometrization_conjecture.
• Topology wikiPageWikiLink Geometry.
• Topology wikiPageWikiLink Georg_Cantor.
• Topology wikiPageWikiLink Giulio_Ascoli.
• Topology wikiPageWikiLink Glossary_of_topology.
• Topology wikiPageWikiLink Gottfried_Wilhelm_Leibniz.
• Topology wikiPageWikiLink Graph_theory.
• Topology wikiPageWikiLink Greek_language.
• Topology wikiPageWikiLink Grothendieck_topology.
• Topology wikiPageWikiLink Group_action.
• Topology wikiPageWikiLink Hairy_ball_theorem.
• Topology wikiPageWikiLink Handle_decomposition.
• Topology wikiPageWikiLink Hassler_Whitney.
• Topology wikiPageWikiLink Hausdorff_space.
• Topology wikiPageWikiLink Henri_Poincaré.
• Topology wikiPageWikiLink Homeomorphism.
• Topology wikiPageWikiLink Homology_(mathematics).
• Topology wikiPageWikiLink Homotopy.
• Topology wikiPageWikiLink Homotopy_group.
• Topology wikiPageWikiLink Injective_function.
• Topology wikiPageWikiLink Invariant_(mathematics).
• Topology wikiPageWikiLink Jacques_Hadamard.
• Topology wikiPageWikiLink Johann_Benedict_Listing.
• Topology wikiPageWikiLink Kaliningrad.
• Topology wikiPageWikiLink Kazimierz_Kuratowski.
• Topology wikiPageWikiLink Klein_bottle.
• Topology wikiPageWikiLink Knot_(mathematics).
• Topology wikiPageWikiLink Knot_theory.
• Topology wikiPageWikiLink Latin_alphabet.
• Topology wikiPageWikiLink Lattice_(order).
• Topology wikiPageWikiLink Lemniscate.

• next