general topology

См. также в других словарях:

• 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

• List of general topology topics — This is a list of general topology topics, by Wikipedia page. Contents 1 Basic concepts 2 Limits 3 Topological properties 3.1 Compactness and countability …   Wikipedia

• List of examples in general topology — This is a list of useful examples in general topology, a field of mathematics.* Alexandrov topology * Cantor space * Co kappa topology ** Cocountable topology ** Cofinite topology * Compact open topology * Compactification * Discrete topology *… …   Wikipedia

• 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

• 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

• General linear group — Group theory Group theory …   Wikipedia

• Topology (electronics) — The topology of an electronic circuit is the form taken by the network of interconnections of the circuit components. Different specific values or ratings of the components are regarded as being the same topology.Strictly speaking, replacing a… …   Wikipedia

• general anatomy — noun the branch of morphology that deals with the structure of animals • Syn: ↑anatomy • Derivationally related forms: ↑anatomic (for: ↑anatomy), ↑anatomist (for: ↑anatomy), ↑ …   Useful english dictionary

• 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

• Product topology — In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology. This topology differs from another, perhaps more obvious,… …   Wikipedia