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isomorphism
isomorphism (aɪsəʊˈmɔːfɪz(ə)m) [mod. (Mitscherlich, 1819) f. as prec. + -ism: in mod.F. isomorphisme.] The character of being isomorphous. 1. Chem. and Min. The property of crystallizing in the same or closely related forms, esp. as exhibited by substances of analogous composition. The general law o...
Oxford English Dictionary
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Isomorphism (disambiguation)
Isomorphism or isomorph may refer to:
Isomorphism, in mathematics, logic, philosophy, and information theory, a mapping that preserves the structure of the mapped entities, in particular:
Graph isomorphism a mapping that preserves the edges and vertices of a graph
Group isomorphism a mapping that
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Isomorphism vs equality of graphs - Mathematics Stack Exchange
I have just started studying graph theory and having trouble with understanding the difference b/w isomorphism and equality of two graphs.According what I have studied so far, I am able to conclude that isomorphic graphs can have same diagrams when represented on paper, but equal graphs also have same diagram on paper, if that is so, then what is the difference b/w equality and isomorphism.
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Isomorphism (crystallography)
Mitscherlich's law
Mitscherlich's law of isomorphism, or the law of isomorphism, is an approximate law suggesting that crystals composed of the same number of similar elements tend to demonstrate isomorphism.
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Isomorphism of categories
Isomorphism of categories is a very strong condition and rarely satisfied in practice. A functor F : C → D yields an isomorphism of categories if and only if it is bijective on objects and on morphism sets.
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Uniform isomorphism
An isomorphism between uniform spaces is called a uniform isomorphism. See also
— an isomorphism between topological spaces
— an isomorphism between metric spaces
References
John L.
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Musical isomorphism
In mathematics—more specifically, in differential geometry—the musical isomorphism (or canonical isomorphism) is an isomorphism between the tangent bundle On the other hand a finite-dimensional vector space endowed with a non-degenerate bilinear form , is canonically isomorphic to its dual, the isomorphism
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Isomorphism theorems
In mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship The three isomorphism theorems, called homomorphism theorem, and two laws of isomorphism when applied to groups, appear explicitly.
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An isomorphism of unitals, and an isomorphism of classical groups
An isomorphism between two hermitian unitals is proved, and used to treat isomorphisms of classical groups that are related to the isomorphism between certain simple real Lie algebras of types A and D (and rank 3).
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Borel isomorphism
In mathematics, a Borel isomorphism is a measurable bijective function between two standard Borel spaces.
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(PDF) Going (More) Public: Institutional Isomorphism and Ownership ...
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Going (More) Public: Institutional Isomorphism and Ownership ... - DeepDyve
Until recently, share types varied in their liquidity, with most basically, state shares ( guojia gu 国家股), derived from investments made before state‐owned enterprises went public. These shares did not trade on the stock exchanges; instead, they traded through negotiation between state agencies.
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Order isomorphism
For example, given two partially ordered groups (po-groups) and , an isomorphism of po-groups from to is an order isomorphism that is also a group isomorphism Also, if is an order isomorphism from to and is an order isomorphism from to , then the function composition of and is itself an order isomorphism
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(PDF) Going (More) Public: Institutional Isomorphism and Ownership ...
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Cartier isomorphism
In algebraic geometry, the Cartier isomorphism is a certain isomorphism between the cohomology sheaves of the de Rham complex of a smooth algebraic variety The Cartier isomorphism is then the assertion that the map is an isomorphism if is a smooth morphism.
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