not homotopic
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Induced homomorphism (fundamental group) — In mathematics, especially in the area of topology known as algebraic topology, the induced homomorphism is a group homomorphism related to the study of the fundamental group.DefinitionLet X and Y be topological spaces; let x 0 be a point of X… … Wikipedia
homotopy — /heuh mot euh pee, hoh /, n., pl. homotopies. Math. the relation that exists between two mappings in a topological space if one mapping can be deformed in a continuous way to make it coincide with the other. [1915 20; HOMO + topy ( < Gr tóp(os)… … Universalium
Identical particles — Statistical mechanics Thermodynamics · … Wikipedia
Hawaiian earring — In mathematics, the Hawaiian earring H is the topological space defined by the union of circles in the Euclidean plane R^2 with center (1/n,0) and radius 1/n for n=1,2,3,.... H is homeomorphic to the one point compactification of a countably… … Wikipedia
Hopf invariant — In mathematics, in particular in algebraic topology, the Hopf invariant is a homotopy invariant of certain maps between spheres. toc Motivation In 1931 Heinz Hopf used Clifford parallels to construct the Hopf map etacolon S^3 o S^2, and proved… … Wikipedia
Torus — Not to be confused with Taurus (disambiguation). This article is about the surface and mathematical concept of a torus. For other uses, see Torus (disambiguation). A torus As the distance to th … Wikipedia
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
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 category of chain complexes — In homological algebra in mathematics, the homotopy category K(A) of chain complexes in an additive category A is a framework for working with chain homotopies and homotopy equivalences. It lies intermediate between the category of chain… … Wikipedia
Homotopy groups of spheres — In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other. They are examples of topological invariants, which reflect, in algebraic terms, the structure… … Wikipedia
Topicity — Main article: stereochemistry In chemistry, topicity is the stereochemical relationship of substituents relative to the structure to which they are attached. Depending on the relationship, such groups can be heterotopic, homotopic, enantiotopic,… … Wikipedia
