injectively
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Sylow theorems — In mathematics, specifically group theory, the Sylow theorems, named after Ludwig Sylow, form a partial converse to Lagrange s theorem, which states that if H is a subgroup of a finite group G , then the order of H divides the order of G . The… … 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
Foliation — In mathematics, a foliation is a geometric device used to study manifolds. Informally speaking, a foliation is a kind of clothing worn on a manifold, cut from a striped fabric. On each sufficiently small piece of the manifold, these stripes give… … Wikipedia
Heisenberg group — In mathematics, the Heisenberg group, named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form or its generalizations under the operation of matrix multiplication. Elements a, b, c can be taken from some… … Wikipedia
Ludwig Bieberbach — Ludwig Georg Elias Moses Bieberbach (December 4, 1886 ndash; September 1, 1982) was a German mathematician.BiographyBorn in Goddelau, near Darmstadt, he studied at Heidelberg and under Felix Klein at Göttingen, receiving his doctorate in 1910.… … Wikipedia
Model category — In mathematics, particularly in homotopy theory, a model category is a category with distinguished classes of morphisms ( arrows ) called weak equivalences , fibrations and cofibrations . These abstract from a conventional homotopy category, of… … Wikipedia
Order type — In mathematics, especially in set theory, two ordered sets X,Y are said to have the same order type just when they are order isomorphic, that is, when there exists a bijection f: X → Y such that both f and its inverse are monotone (order… … Wikipedia
Holomorphically separable — In mathematics in complex analysis, the concept of holomorphic separability is a measure forthe richness of the set of holomorphic functions on a complex manifold or complex space.Formal definitionA complex manifold or complex space X is said to… … Wikipedia
Stable manifold — In mathematics, and in particular the study of dynamical systems, the idea of stable and unstable sets or stable and unstable manifolds give a formal mathematical definition to the general notions embodied in the idea of an attractor or repellor … Wikipedia
injection — noun /ɪn.dʒɛk.ʃən/ a) The act of injecting, or something that is injected. b) Something injected subcutaneously, intravenously, or intramuscularly by use of a syringe and a needle. See Also: inject … Wiktionary
