- invariant topology
- мат.инвариантная топология
English-Russian scientific dictionary. 2008.
invariant topology
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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
Invariant theory — is a branch of abstract algebra that studies actions of groups on algebraic varieties from the point of view of their effect on functions. Classically, the theory dealt with the question of explicit description of polynomial functions that do not … 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
Invariant (mathematics) — In mathematics, an invariant is a property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects. The particular class of objects and type of transformations are usually… … Wikipedia
topology — to•pol•o•gy [[t]təˈpɒl ə dʒi[/t]] n. 1) math. the mathematical study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching 2) the topography of a place or entity • Etymology: 1650–60… … From formal English to slang
topology — /təˈpɒlədʒi / (say tuh poluhjee) noun the branch of geometry that deals with those properties of geometric forms that remain invariant under certain transformations, as bending, stretching, etc. {topo + logy} –topologic /tɒpəˈlɒdʒɪk/ (say topuh… …
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
Casson invariant — In 3 dimensional topology, a part of the mathematical field of geometric topology, the Casson invariant is an integer valued invariant of oriented integral homology 3 spheres, introduced by Andrew Casson.Kevin Walker (1992) found an extension to… … Wikipedia
Differential topology — In mathematics, 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.… … Wikipedia
Geometry and topology — In mathematics, geometry and topology is an umbrella term for geometry and topology, as the line between these two is often blurred, most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and… … Wikipedia
De Rham invariant — In geometric topology, the de Rham invariant is a mod 2 invariant of a (4k+1) dimensional manifold, that is, an element of – either 0 or 1. It can be thought of as the simply connected symmetric L group L4k + 1, and thus analogous to the other… … Wikipedia
