- base of topology
- мат.база топологии
English-Russian scientific dictionary. 2008.
base of topology
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Base (topología) — Saltar a navegación, búsqueda En matemáticas, una base β de un espacio topológico X con topología T, es una colección de abiertos de T que verifica que todo abierto de la topología T puede expresarse como unión de los elementos de β. Decimos que… … Wikipedia Español
Base — or BASE may refer to:A base is a mixture of urine n waste so do not eat it* Base meaning bottom, the lowest part of an object* can mean negative, unfavorable or undesirable in nature. Bad; vile; malicious; evil.In mathematics: *Base (mathematics) … Wikipedia
Base (topology) — In mathematics, a base (or basis) B for a topological space X with topology T is a collection of open sets in T such that every open set in T can be written as a union of elements of B. We say that the base generates the topology T. Bases are… … Wikipedia
base — base1 /bays/, n., adj., v., based, basing. n. 1. the bottom support of anything; that on which a thing stands or rests: a metal base for the table. 2. a fundamental principle or groundwork; foundation; basis: the base of needed reforms. 3. the… … Universalium
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
Grothendieck topology — In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C which makes the objects of C act like the open sets of a topological space. A category together with a choice of Grothendieck topology is called a … Wikipedia
Weak topology — This article discusses the weak topology on a normed vector space. For the weak topology induced by a family of maps see initial topology. For the weak topology generated by a cover of a space see coherent topology. In mathematics, weak topology… … Wikipedia
Order topology — In mathematics, an order topology is a certain topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real numbers to arbitrary totally ordered sets. If X is a totally ordered set, the order … Wikipedia
Initial topology — In general topology and related areas of mathematics, the initial topology (projective topology or weak topology) on a set X, with respect to a family of functions on X, is the coarsest topology on X which makes those functions continuous.The… … Wikipedia
Spacetime topology — Spacetime topology, the topological structure of spacetime, is a subject studied primarily in general relativity. This physical theory models gravitation as a Lorentzian manifold (a spacetime) and the concepts of topology thus become important in … Wikipedia
Flat topology — In mathematics, the flat topology is a Grothendieck topology used in algebraic geometry. It is used to define the theory of flat cohomology; it also has played a fundamental role in the theory of descent (faithfully flat descent). [… … Wikipedia
