- homotopies
- n. function used to uniformly distort one mapping so as to make it coincide with a second mapping (Mathematics)
English contemporary dictionary. 2014.
English contemporary dictionary. 2014.
n-connected — This article is about the concept in algebraic topology. For the concept in graph theory, see Connectivity (graph theory). In the mathematical branch of algebraic topology, specifically homotopy theory, n connectedness is a way to say that a… … Wikipedia
Smale's paradox — In differential topology, Smale s paradox states that it is possible to turn a sphere inside out in 3 space with possible self intersections but without creating any crease, a process often called sphere eversion ( eversion means to turn inside… … Wikipedia
A∞-operad — In the theory of operads in algebra and algebraic topology, an A∞ operad is a parameter space for a multiplication map that is associative up to all higher homotopies, but not necessarily commutative. (An operad that describes a multiplication… … Wikipedia
E∞-operad — In the theory of operads in algebra and algebraic topology, an E∞ operad is a parameter space for a multiplication map that is associative and commutative up to all higher homotopies. (An operad that describes a multiplication that is associative … Wikipedia
Fibration — Ne pas confondre avec un espace fibré ni avec une filtration. En théorie de l homotopie, une fibration est une application continue entre espaces topologiques satisfaisant une propriété de relèvement des homotopies, qui est satisfaite en… … Wikipédia en Français
Chain complex — Bicomplex redirects here. For the number, see Bicomplex number In mathematics, chain complex and cochain complex are constructs originally used in the field of algebraic topology. They are algebraic means of representing the relationships between … Wikipedia
Homotopy — This article is about topology. For chemistry, see Homotopic groups. The two dashed paths shown above are homotopic relative to their endpoints. The animation represents one possible homotopy. In topology, two continuous functions from one… … Wikipedia
Homotopy group — In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. The base point preserving maps from an n dimensional sphere (with base point) into a given space (with base point) are collected into equivalence… … Wikipedia
Minimax eversion — In geometry, minimax eversions are a class of sphere eversions, constructed by using half way models. It is a variational method, and consists of special homotopies (they are shortest paths with respect to Willmore energy); contrast with Thurston … Wikipedia
Dehn function — In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the … Wikipedia