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Related to Topological isomorphism: homeomorphic spaces


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.


(ˌhəʊmɪəˈmɔːfɪzəm) or


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


(ˌhoʊ mi əˈmɔr fɪz əm)

a mathematical function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous.
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.


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.
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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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