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Meaning of "homeomorphism" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF HOMEOMORPHISM

homeomorphism  [ˌhəʊmɪəˈmɔːfɪzəm] play
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GRAMMATICAL CATEGORY OF HOMEOMORPHISM

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Homeomorphism is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES HOMEOMORPHISM MEAN IN ENGLISH?

Homeomorphism

In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category of topological spaces—that is, they are the mappings that preserve all the topological properties of a given space. Two spaces with a homeomorphism between them are called homeomorphic, and from a topological viewpoint they are the same. The word homeomorphism comes from the Greek words ὅμοιος = similar and μορφή = shape, form. Roughly speaking, a topological space is a geometric object, and the homeomorphism is a continuous stretching and bending of the object into a new shape. Thus, a square and a circle are homeomorphic to each other, but a sphere and a torus are not. An often-repeated mathematical joke is that topologists can't tell their coffee cup from their donut, since a sufficiently pliable donut could be reshaped to the form of a coffee cup by creating a dimple and progressively enlarging it, while preserving the donut hole in a cup's handle.

Definition of homeomorphism in the English dictionary

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.

WORDS THAT RHYME WITH HOMEOMORPHISM


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

WORDS THAT BEGIN LIKE HOMEOMORPHISM

homeobox
homeobox gene
homeomeric
homeomerous
homeomery
homeomorph
homeomorphic
homeomorphous
homeomorphy
homeopath
homeopathic
homeopathically
homeopathist
homeopathy
homeosis
homeostases
homeostasis
homeostatic
homeoteleuton
homeotherm

WORDS THAT END LIKE HOMEOMORPHISM

allomorphism
anamorphism
Buddhism
catastrophism
diastrophism
enantiomorphism
endomorphism
Guelphism
gynandromorphism
idiomorphism
paramorphism
pleomorphism
psephism
pseudomorphism
rheomorphism
sapphism
sexual dimorphism
sophism
theriomorphism
trimorphism
zygomorphism

Synonyms and antonyms of homeomorphism in the English dictionary of synonyms

SYNONYMS

Translation of «homeomorphism» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF HOMEOMORPHISM

Find out the translation of homeomorphism to 25 languages with our English multilingual translator.
The translations of homeomorphism from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «homeomorphism» in English.

Translator English - Chinese

同胚
1,325 millions of speakers

Translator English - Spanish

homeomorfismo
570 millions of speakers

English

homeomorphism
510 millions of speakers

Translator English - Hindi

होमियोमॉर्फिज़्म
380 millions of speakers
ar

Translator English - Arabic

التشابه
280 millions of speakers

Translator English - Russian

гомеоморфизм
278 millions of speakers

Translator English - Portuguese

homeomorfismo
270 millions of speakers

Translator English - Bengali

homeomorphism
260 millions of speakers

Translator English - French

homéomorphisme
220 millions of speakers

Translator English - Malay

Homeomorphism
190 millions of speakers

Translator English - German

Homöomorphismus
180 millions of speakers

Translator English - Japanese

同相写像
130 millions of speakers

Translator English - Korean

homeomorphism
85 millions of speakers

Translator English - Javanese

Homeomorphism
85 millions of speakers
vi

Translator English - Vietnamese

homeomorphism
80 millions of speakers

Translator English - Tamil

இடைவெளியில்லா
75 millions of speakers

Translator English - Marathi

होमोमोर्फिझम
75 millions of speakers

Translator English - Turkish

homeomorfizma
70 millions of speakers

Translator English - Italian

omeomorfismo
65 millions of speakers

Translator English - Polish

homeomorfizm
50 millions of speakers

Translator English - Ukrainian

гомеоморфизм
40 millions of speakers

Translator English - Romanian

omeomorfism
30 millions of speakers
el

Translator English - Greek

homeomorphism
15 millions of speakers
af

Translator English - Afrikaans

Homeomorfisme
14 millions of speakers
sv

Translator English - Swedish

homeomorphism
10 millions of speakers
no

Translator English - Norwegian

homeomorphism
5 millions of speakers

Trends of use of homeomorphism

TRENDS

TENDENCIES OF USE OF THE TERM «HOMEOMORPHISM»

The term «homeomorphism» is regularly used and occupies the 104.480 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
51
/100
The map shown above gives the frequency of use of the term «homeomorphism» in the different countries.
Principal search tendencies and common uses of homeomorphism
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «homeomorphism».

FREQUENCY OF USE OF THE TERM «HOMEOMORPHISM» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «homeomorphism» during the past 500 years. Its implementation is based on analysing how often the term «homeomorphism» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about homeomorphism

EXAMPLES

10 ENGLISH BOOKS RELATING TO «HOMEOMORPHISM»

Discover the use of homeomorphism in the following bibliographical selection. Books relating to homeomorphism and brief extracts from same to provide context of its use in English literature.
1
Real Analysis
homeomorphism. In this case, however, we would emphasize the fact that M and N are more than merely "alike" by saying that M and N are isometric. Isometric spaces are exact replicas of one another; they are identical in every feature save  ...
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 Homeomorphism Groups of Manifolds
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 Homeomorphism of Mineral Species of the Trimetric ...
(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
Now note that since V is a neighborhood of the set A which was collapsed, the restriction of the map it gives a homeomorphism of pairs HI (X— V, 11- V)~r (/\'/A — 7l(V),1l(U) — 7l(V)), and so an isomorphism of their homology groups.
James W. Vick, Vick, 1973

4 NEWS ITEMS WHICH INCLUDE THE TERM «HOMEOMORPHISM»

Find out what the national and international press are talking about and how the term homeomorphism is used in the context of the following news items.
1
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»
2
'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»
3
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»
4
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>. May 2019 ».
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