homotopy group

  • 11Homotopy to Marie — Infobox Album Name = Homotopy to Marie Type = Album Artist = Nurse With Wound Released = 1982 Recorded = 1981 82 Genre = Industrial, Experimental Length = 65:30 Label = United Dairies Producer = Steven Stapleton Reviews = *Allmusic (3.5/5)… …

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  • 12Fundamental 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 …

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  • 13Mapping class group — In mathematics, in the sub field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of symmetries of the space. Contents 1 Motivation 2… …

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  • 14Projective unitary group — In mathematics, the projective unitary group PU( n ) is the quotient of the unitary group U( n ) by the right multiplication of its center, U(1), embedded as scalars.Abstractly, it is the isometry group of complex projective space, just as the… …

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  • 15Spectrum (homotopy theory) — In algebraic topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory. There are several different constructions of categories of spectra, all of which give the same homotopy category.Suppose we… …

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  • 16Stable homotopy theory — In mathematics, stable homotopy theory is that part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor. A founding result was the… …

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  • 17n-group (category theory) — Not to be confused with p group. In mathematics, an n group, or n dimensional higher group, is a special kind of n category that generalises the concept of group to higher dimensional algebra. Here, n may be any natural number or infinity. The… …

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  • 18Stable group — For stable groups in homotopy theory see stable homotopy group or direct limit of groups. In model theory, a stable group is a group that is stable in the sense of stability theory. An important class of examples is provided by groups of finite… …

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  • 19Orthogonal group — Group theory Group theory …

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  • 20Link group — In knot theory, an area of mathematics, the link group of a link is an analog of the knot group of a knot. They were described by John Milnor in his Bachelor s thesis, (Milnor 1954). Contents 1 Definition 2 Examples 3 …

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