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Qu'est-ce (qui) est quasiconformal homeomorphism - définition
HOMEOMORPHISM BETWEEN PLANE DOMAINS
Quasiconformal; Quasi-conformal mapping; Quasiconformal map; K-quasiconformal mapping; Quasiconformal function; Quasi-conformal function; Quasi-conformal mappings
Homeomorphism group
Self-homeomorphism
In mathematics, particularly topology, the homeomorphism group of a topological space is the group consisting of all homeomorphisms from the space to itself with function composition as the group operation. Homeomorphism groups are very important in the theory of topological spaces and in general are examples of automorphism groups.
Homeomorphism (graph theory)
CONCEPT IN GRAPH THEORY
Graph homeomorphism; Subdivision (graph theory); Graph subdivision; Smoothing out; Graph smoothing
In graph theory, two graphs G and G' are homeomorphic if there is a graph isomorphism from some subdivision of G to some subdivision of G'. If the edges of a graph are thought of as lines drawn from one vertex to another (as they are usually depicted in illustrations), then two graphs are homeomorphic to each other in the graph-theoretic sense precisely if they are homeomorphic in the topological sense.
Homoeomorphism
ISOMORPHISM BETWEEN TOPOLOGICAL SPACES; CONTINUOUS BIJECTION WITH CONTINUOUS INVERSE
Homeomorphic; Homoeomorphic; Topological equivalence; Homeomorphisms; Homoeomorphism; Topological isomorphism; Bicontinuous function; Bicontinuous; Bi-continuous; Bicontinuous function space; Bicontinuous topological space; Homeomorphism class
·noun A near similarity of crystalline forms between unlike chemical compounds. ·see Isomorphism.
Wikipédia
Quasiconformal mapping
In mathematical complex analysis, a quasiconformal mapping, introduced by Grötzsch (1928) and named by Ahlfors (1935), is a homeomorphism between plane domains which to first order takes small circles to small ellipses of bounded eccentricity.
Intuitively, let f : D → D′ be an orientation-preserving homeomorphism between open sets in the plane. If f is continuously differentiable, then it is K-quasiconformal if the derivative of f at every point maps circles to ellipses with eccentricity bounded by K.
