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topology on a set

См. также в других словарях:

  • Topology — (Greek topos , place, and logos , study ) is the branch of mathematics that studies the properties of a space that are preserved under continuous deformations. Topology grew out of geometry, but unlike geometry, topology is not concerned with… …   Wikipedia

  • Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia

  • Topology optimization — can be defined as:A mathematical process whereby the location and number of voids within a structure is defined given a prescribed set of limitations and a clear objective. [ [http://www.lulu.com/content/794546] Investigation into Structural… …   Wikipedia

  • topology — topologic /top euh loj ik/, topological, adj. topologically, adv. topologist, n. /teuh pol euh jee/, n., pl. topologies for 3. Math. 1. the study of those properties of geometric forms that remain invariant under c …   Universalium

  • Geospatial topology — Topology In a Geographic Information System GIS, topology is a set of rules which define the relationship between points, lines, and polygons. ESRI enables topology generation within their geodatabase feature classes. Network topology explores… …   Wikipedia

  • Set-theoretic topology — In mathematics, set theoretic topology is a subject that combines set theory and general topology. It focuses on topological questions that are independent of ZFC.References*cite book|title=Handbook of Set Theoretic… …   Wikipedia

  • Set cover problem — The set covering problem is a classical question in computer science and complexity theory. As input you are given several sets. They may have some elements in common. You must select a minimum number of these sets so that the sets you have… …   Wikipedia

  • topology — noun (plural gies) Etymology: International Scientific Vocabulary Date: 1850 1. topographic study of a particular place; specifically the history of a region as indicated by its topography 2. a. (1) a branch of mathematics concerned with those… …   New Collegiate Dictionary

  • topology — noun /təˈpɒləʤi,təˈpɑːləʤi/ a) A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms. b) A collection τ of subsets of a set X such that the empty… …   Wiktionary

  • Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… …   Wikipedia

  • Open set — Example: The points (x, y) satisfying x2 + y2 = r2 are colored blue. The points (x, y) satisfying x2 + y2 < r2 are colored red. The red points form an open set. The blue points form a closed set. The union of the red and blue points is a… …   Wikipedia

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