- homotopic transformation
- мат.гомотопное преобразование
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − … Wikipedia
Large gauge transformation — Let s say we have a topological space M and a topological group G and a principal G bundle over M. A global section of this principal bundle is a gauge fixing and the process of replacing one section by another is a gauge transformation. If a… … Wikipedia
Covering space — A covering map satisfies the local triviality condition. Intuitively, such maps locally project a stack of pancakes above an open region, U, onto U. In mathematics, more specifically algebraic topology, a covering map is a continuous surjective… … Wikipedia
Fundamental group — In mathematics, the fundamental group is one of the basic concepts of algebraic topology. Associated with every point of a topological space there is a fundamental group that conveys information about the 1 dimensional structure of the portion of … Wikipedia
Vacuum angle — In quantum gauge theories, in the Hamiltonian formulation, the wave function is a functional of the gauge connection A and matter fields φ. Being a quantum gauge theory, we have to impose first class constraints in the form of functional… … Wikipedia
Eilenberg–Steenrod axioms — In mathematics, specifically in algebraic topology, the Eilenberg–Steenrod axioms are properties that homology theories of topological spaces have in common. The quintessential example of a homology theory satisfying the axioms is singular… … Wikipedia
Deane Montgomery — (* 2. September 1909 in Weaver in Minnesota; † 15. März 1992 in Chapel Hill (North Carolina)) war ein US amerikanischer Mathematiker, der sich mit Topologie, speziell topologischen Gruppen und Transformationsgruppen, beschäftigte. Montgomery… … Deutsch Wikipedia
Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… … Wikipedia
Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … Wikipedia
Abstract nonsense — Abstract nonsense, or general abstract nonsense, alternatively general nonsense, is a popular term used by mathematicians to describe certain kinds of arguments and concepts in category theory or applications.HistoryThe term predates the… … Wikipedia
Eilenberg-Steenrod axioms — In mathematics, specifically in algebraic topology, the Eilenberg Steenrod axioms are properties that homology theories of topological spaces have in common. The quintessential example of a homology theory satisfying the axioms is singular… … Wikipedia