- set-theoretic(al) topology
- мат.теоретико-множественная топология
English-Russian scientific dictionary. 2008.
set-theoretic(al) topology
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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 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 — 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
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
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
General topology — In mathematics, general topology or point set topology is the branch of topology which studies properties of topological spaces and structures defined on them. It is distinct from other branches of topology in that the topological spaces may be… … 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
Final topology — In general topology and related areas of mathematics, the final topology (inductive topology or strong topology) on a set X, with respect to a family of functions into X, is the finest topology on X which makes those functions continuous.… … Wikipedia
Closure (topology) — For other uses, see Closure (disambiguation). In mathematics, the closure of a subset S in a topological space consists of all points in S plus the limit points of S. Intuitively, these are all the points that are near S. A point which is in the… … Wikipedia
Interior (topology) — The point x is an interior point of S, since it is contained within S together with an open ball around it. The point y is on the boundary of S. In mathematics, specifically in topology, the interior of a set S of points of a topological space… … Wikipedia
List of topology topics — This is a list of topology topics, by Wikipedia page. See also: topology glossary List of general topology topics List of geometric topology topics List of algebraic topology topics List of topological invariants (topological properties)… … Wikipedia
