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DICTIONARY

noun

adjective

verb

adverb

pronoun

preposition

conjunction

determiner

exclamation

The definition of homeomorphism in the **dictionary** is *the property, shown by certain chemical compounds, of having the same crystal form but different chemical composition.* Other definition of homeomorphism is *a one-to-one correspondence, continuous in both directions, between the points of two geometric figures or between two topological spaces.*

amorphism

əˈmɔːfɪzəm

anthropomorphism

ˌænθrəpəˈmɔːfɪzəm

automorphism

ˌɔːtəʊˈmɔːfɪzəm

dimorphism

daɪˈmɔːfɪzəm

dwarfism

ˈdwɔːfɪzəm

hemimorphism

ˌhɛmɪˈmɔːfɪzəm

heteromorphism

ˌhɛtərəʊˈmɔːfɪzəm

homoeomorphism

ˌhəʊmɪəˈmɔːfɪzəm

homomorphism

ˌhəʊməʊˈmɔːfɪzəm

hylomorphism

ˌhaɪləˈmɔːfɪzəm

isodimorphism

ˌaɪsəʊdaɪˈmɔːfɪzəm

isomorphism

ˌaɪsəʊˈmɔːfɪzəm

mechanomorphism

ˌmekənəʊˈmɔːfɪzəm

metamorphism

ˌmɛtəˈmɔːfɪzəm

monomorphism

mɒnəʊˈmɔːfɪzəm

Orphism

ˈɔːfɪzəm

perimorphism

ˌpɛrɪˈmɔːfɪzəm

polymorphism

ˌpɒlɪˈmɔːfɪzəm

skeuomorphism

ˌskjuːəˈmɔːfɪzəm

zoomorphism

ˌzəʊəˈmɔːfɪzəm

homeobox

homeobox gene

homeomeric

homeomerous

homeomery

homeomorph

homeomorphic

homeomorphous

homeomorphy

homeopath

homeopathic

homeopathically

homeopathist

homeopathy

homeosis

homeostases

homeostasis

homeostatic

homeoteleuton

homeotherm

allomorphism

anamorphism

Buddhism

catastrophism

diastrophism

enantiomorphism

endomorphism

Guelphism

gynandromorphism

idiomorphism

paramorphism

pleomorphism

psephism

pseudomorphism

rheomorphism

sapphism

sexual dimorphism

sophism

theriomorphism

trimorphism

zygomorphism

SYNONYMS

TRANSLATOR

ar

280 millions of speakers

vi

80 millions of speakers

el

15 millions of speakers

af

14 millions of speakers

sv

10 millions of speakers

no

5 millions of speakers

TRENDS

0

100%

FREQUENCY

Regularly used

51

/100
EXAMPLES

1

Real Analysis N. L. Carothers, **2000**

2

A First Course in Algebraic Topology
to a Hausdorff space Y. Then f is a **homeomorphism** if and only if f is bijective.
Proof Obviously if f is a **homeomorphism** then f is bijective. It is the converse
which is more interesting. Suppose therefore that f is bijective, whence f-1 exists.

Czes Kosniowski, **1980**

3

Erdős Space and
Bibliography. M. Abry and J. J. Dijkstra, On topological Kadec norms, Math. Ann.
332 (2005), 759–765. MR2179775 (2006h:54007) M. Abry and J. J. Dijkstra,
Universal spaces for almost n-dimensionality, Proc. Amer. Math. Soc. 135 (2007)
...

Jan Jakobus Dijkstra, J. van Mill, **2010**

4

Homeomorphisms in Analysis
now a matter of invoking the well-known Jordan-Schoenflies theorem for finitely
connected Jordan regions in the plane to extend this **homeomorphism** to one on
the square Q. Thereby the theorem is proved. 6.2.2. Remarks. Theorem 6.3 first ...

Casper Goffman, Togo Nishiura, Daniel Waterman, **1997**

5

Metric Spaces
Examples 3.5.2. (i) The metric spaces [0,1] and [0,2] with the usual absolute value
metric are homeomorphic. In fact, the mapping f(x) = 2x is a **homeomorphism**. (ii)
The function f(x) — In x is a **homeomorphism** between (0, oo) and R, where R ...

Satish Shirali, Harkrishan Lal Vasudeva, **2006**

6

On the
(From the Annals of the Lyceuml of Natural History of New York, Vol. VI. p. 37.) (
Chefchens des Verfs. von die Giese Akademie) James D. Dana. On the
**Homeomorphism** of Mineral Species of the Trimetric System James D. Dana
Front Cover.

James D. Dana, **1854**

7

Topology and Its Applications
Now suppose X Q Y and Z Q W. We we say that a **homeomorphism** f: X —> Z
extends to a **homeomorphism** from Y to W if there exists a **homeomorphism** F: Y
—> Wsuch that F(x) = f(x) for all x E X. LEMMA 8. LetA and B be disks and
suppose ...

William F. Basener, **2013**

8

Introduction to General Topology
awaited definition of a **homeomorphism**. (2.2) Definition: Let A, B be subsets of
euclidean spaces. A **homeomorphism** from A to B is a bijection/ : A -»• B such that
both/ and its inverse are continuous. When such /exists, A and B are said to be ...

K. D. Joshi, **1983**

9

Topological Dynamics
The effective topological transformation groups and the topological
**homeomorphism** groups are essentially identical in the following sense: (1) If (X,
T, ir) is an effective topological transformation group, then the transition group G
of (X, T, t), ...

Walter Helbig Gottschalk, Gustav Arnold Hedlund, **1955**

10

Homology theory: An introduction to algebraic topology
Nkrumah Nkrumah, Wole Soyinka, & Kongi's Harvest (1)

For us the end result should be centrally about seeing the internal self and the external self share a peaceful **homeomorphism** of social-political ... «GhanaWeb, Jun 15»

'H OM E OMOR PH ISM' by Ouchhh

A **homeomorphism**, also called a continuous transformation, is an equivalence relation and one-to-one correspondence between points in two ... «Cartoon Brew, Jan 15»

A Capella Science - Bohemian Gravity!

... https://en.wikipedia.org/wiki/**Homeomorphism** (she already knows this word a bit because of +Monty Harper's song "Topologically Speaking" ... «YouTube, Sep 13»

Book Review: The Poincare Conjecture: In Search of the Shape of …

A **homeomorphism** or topological isomorphism or bi-continuous function is a continuous function between topological spaces that have a ... «Blogcritics.org, Jan 12»

REFERENCE

« EDUCALINGO. *Homeomorphism* [online]. Available <https://educalingo.com/en/dic-en/homeomorphism>. Aug 2019 ».