homeomorphism

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Related to Topological isomorphism: homeomorphic spaces

ho·me·o·mor·phism

 (hō′mē-ə-môr′fĭz′əm)
n.
1. Chemistry A close similarity in the crystal forms of unlike compounds.
2. Mathematics A continuous bijection between two topological spaces whose inverse is also continuous.

ho′me·o·mor′phic adj.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

homeomorphism

(ˌhəʊmɪəˈmɔːfɪzəm) or

homoeomorphism

n
1. (Chemistry) the property, shown by certain chemical compounds, of having the same crystal form but different chemical composition
2. (Mathematics) maths a one-to-one correspondence, continuous in both directions, between the points of two geometric figures or between two topological spaces
ˌhomeoˈmorphic, ˌhomeoˈmorphous, ˌhomoeoˈmorphic, ˌhomoeoˈmorphous adj
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

ho•me•o•mor•phism

(ˌhoʊ mi əˈmɔr fɪz əm)

n.
a mathematical function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous.
[1850–55]
ho`me•o•mor′phic, ho`me•o•mor′phous, adj.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

homeomorphism

the similarity of the crystalline forms of substances that have different chemical compositions. — homeomorphous, adj.
See also: Physics
-Ologies & -Isms. Copyright 2008 The Gale Group, Inc. All rights reserved.
Translations
homeomorfihomøomorfi
homeomorfismi
homeomorfizam
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References in periodicals archive ?
We shall show that [j.sub.x'] in 3.4 is a topological isomorphism. Since X is essential, [j.sub.x'] is injective.
Then [h.sub.A][(A,[X'.sub.b]).sub.b], = [X'.sub.b] holds up to a topological isomorphism of lc A-bimodules.
The Laplace transform is a topological isomorphism between [F.sub.[theta]] (N') and the space [G.sub.[theta]] * (N), where [G.sub.[theta]] * (N) is defined by
Then the Laplace transform realizes a topological isomorphism between the distributions space [F'.sub.x](N') and the space Hol0(N) of holomorphic function on a neighborhood of zero of N.
(i) The mapping f [??] [??] is a topological isomorphism of S(G) onto [S.sup.I.sub.E](K).
Let A and B be topological algebras and [pi] a topological isomorphism from A into B.
In this paper, an algorithm for topological isomorphism identification of planar multiple joint and gear train kinematic chains is introduced.
(i) The Fourier-Bessel transform [F.sub.[alpha]] is a topological isomorphism from D(R) onto H.
In the next result we prove that in fact [xi] is a topological isomorphism; its proof makes use of the following result (cf.
we see immediately that the mapping [??]: [C.sup.[infinity]]([R.sup.2n+1]) [right arrow] [C.sup.[infinity]]([R.sup.2n+1]) is topological isomorphism from [C.sup.[infinity]]([R.sup.2n+1]) onto [C.sup.[infinity]]([R.sup.2n+1]) and [[??].sup.2] = I, where I is the identity operator of [C.sup.[infinity]]([R.sup.2n+1]).
is a topological isomorphism from [F.sub.[theta]](N') onto [F.sub.[theta]](N).

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