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Meaning of "homeomorphic" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF HOMEOMORPHIC

homeomorphic  [ˌhɒmɪəˈmɔːfɪk] play
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GRAMMATICAL CATEGORY OF HOMEOMORPHIC

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Homeomorphic is an adjective.
The adjective is the word that accompanies the noun to determine or qualify it.

WHAT DOES HOMEOMORPHIC 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 homeomorphic in the English dictionary

The definition of homeomorphic in the dictionary is having the same crystal form but different chemical composition. Other definition of homeomorphic is having a one-to-one correspondence, continuous in both directions.

WORDS THAT RHYME WITH HOMEOMORPHIC


actinomorphic
ˌæktɪnəʊˈmɔːfɪk
anamorphic
ˌænəˈmɔːfɪk
anthropomorphic
ˌænθrəpəˈmɔːfɪk
automorphic
ˌɔːtəʊˈmɔːfɪk
biomorphic
ˌbaɪəʊˈmɔːfɪk
dimorphic
daɪˈmɔːfɪk
dysmorphic
dɪsˈmɔːfɪk
geomorphic
ˌdʒiːəʊˈmɔːfɪk
holomorphic
ˌhɒləˈmɔːfɪk
homomorphic
ˌhɒməˈmɔːfɪk
hypomorphic
ˌhaɪpəˈmɔːfɪk
isomorphic
ˌaɪsəʊˈmɔːfɪk
meromorphic
ˌmɛrəʊˈmɔːfɪk
mesomorphic
ˌmɛsəʊˈmɔːfɪk
metamorphic
ˌmɛtəˈmɔːfɪk
monomorphic
ˌmɒnəʊˈmɔːfɪk
pleomorphic
ˌpliːəˈmɔːfɪk
polymorphic
ˌpɒlɪˈmɔːfɪk
pseudomorphic
ˌsjuːdəʊˈmɔːfɪk
zoomorphic
ˌzəʊəʊˈmɔːfɪk

WORDS THAT BEGIN LIKE HOMEOMORPHIC

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

WORDS THAT END LIKE HOMEOMORPHIC

ectomorphic
enantiomorphic
endomorphic
ergatomorphic
geographic
homoeomorphic
hydromorphic
hystricomorphic
idiomorphic
isodimorphic
ophiomorphic
ornithomorphic
Orphic
panidiomorphic
protomorphic
skeuomorphic
theriomorphic
trimorphic
xenomorphic
xeromorphic
zygomorphic

Synonyms and antonyms of homeomorphic in the English dictionary of synonyms

SYNONYMS

Translation of «homeomorphic» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF HOMEOMORPHIC

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

Translator English - Chinese

同胚
1,325 millions of speakers

Translator English - Spanish

homeomorfo
570 millions of speakers

English

homeomorphic
510 millions of speakers

Translator English - Hindi

होमियोमॉर्फिक
380 millions of speakers
ar

Translator English - Arabic

homeomorphic
280 millions of speakers

Translator English - Russian

гомеоморфно
278 millions of speakers

Translator English - Portuguese

homeomorphic
270 millions of speakers

Translator English - Bengali

homeomorphic
260 millions of speakers

Translator English - French

homéomorphe
220 millions of speakers

Translator English - Malay

Homeomorphic
190 millions of speakers

Translator English - German

homöomorph
180 millions of speakers

Translator English - Japanese

同相の
130 millions of speakers

Translator English - Korean

homeomorphic
85 millions of speakers

Translator English - Javanese

Homeomorphic
85 millions of speakers
vi

Translator English - Vietnamese

đồng phôi
80 millions of speakers

Translator English - Tamil

homeomorphic
75 millions of speakers

Translator English - Marathi

होमऑमॉर्फिक
75 millions of speakers

Translator English - Turkish

homeomorphic
70 millions of speakers

Translator English - Italian

homeomorphic
65 millions of speakers

Translator English - Polish

homeomorficzna
50 millions of speakers

Translator English - Ukrainian

гомеоморфна
40 millions of speakers

Translator English - Romanian

homeomorphic
30 millions of speakers
el

Translator English - Greek

homeomorphic
15 millions of speakers
af

Translator English - Afrikaans

homeomorphic
14 millions of speakers
sv

Translator English - Swedish

homeomorfa
10 millions of speakers
no

Translator English - Norwegian

homeomorphic
5 millions of speakers

Trends of use of homeomorphic

TRENDS

TENDENCIES OF USE OF THE TERM «HOMEOMORPHIC»

The term «homeomorphic» is regularly used and occupies the 105.067 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 «homeomorphic» in the different countries.
Principal search tendencies and common uses of homeomorphic
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «homeomorphic».

FREQUENCY OF USE OF THE TERM «HOMEOMORPHIC» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «homeomorphic» during the past 500 years. Its implementation is based on analysing how often the term «homeomorphic» 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 homeomorphic

EXAMPLES

10 ENGLISH BOOKS RELATING TO «HOMEOMORPHIC»

Discover the use of homeomorphic in the following bibliographical selection. Books relating to homeomorphic and brief extracts from same to provide context of its use in English literature.
1
Real Analysis
(f ) In R, any two intervals that look alike are homeomorphic. [ 0, 1 ] and [ a, b ] are homeomorphic, as are (0, 1) and (a. b). The interval (0, 1) is also homeomorphic to R, and (0, 1 ] is homeomorphic to [a, b). Why? [Hint: The map x H> 2 - 3x is a ...
N. L. Carothers, 2000
2
General Topology
Thus, the relation “is homeomorphic to" is an equivalence relation on any set of topological spaces. The reader might profit from thinking, at this point, about the question: is there a set of all topological spaces? To prove two spaces are ...
Stephen Willard, 2004
3
Essential Topology
For example, if we take the region of S2 to the south of the equator (or any fixed latitude), then this is homeomorphic to a disc (closed or open according to whether or not we include the equator) under stereographic projection. So, for example ...
Martin D. Crossley, 2006
4
General Topology
(b) Any two closed intervals are homeomorphic, and any two half- open intervals are homeomorphic. (c) No open interval is homeomorphic to a closed or half- open interval, and no closed interval is homeomorphic to a half-open interval.
John L. Kelley, 1975
5
Mathematical Analysis: Linear and Metric Structures and ...
6.72 ![. Show that the unit circle S1 of R2 is not homeomorphic to R. [Hint: Suppose h : S1 — > R is a homeomorphism and let io £ S1. Then S1 \ {xo} is connected, while R \ {h(xo)} is not connected.] 6.73 Theorem. In R each closed interval is ...
Mariano Giaquinta, Giuseppe Modica, 2007
6
A Basic Course in Algebraic Topology
Such an open tube or cylinder is homeomorphic to a sphere with two holes cut in it, and forming the connected sum of S with a sphere does not change anything. Thus, the space resulting from the first stage is homeomorphic to the original ...
William S. Massey, 1991
7
Intuitive Topology
The closed interval / = [0, 1] and the open interval / = (0,1) are not homeomorphic. Assume the converse and let /:/-»/ be a homeomorphism. The point 1 does not divide the closed interval / , i.e., after it is removed any two remaining points can ...
Viktor Vasilʹevich Prasolov, 1995
8
A Topological Aperitif
than 1, to the whole of Rn. In particular the open interval ] − 1,1[ is homeomorphic to the whole real line. In the next two examples we make use of the transitivity property of being homeomorphic: if S is homeomorphic to T,andT is ...
Stephen Huggett, David Jordan, 2009
9
Elementary Topology
We intuitively feel, however, that if n # m, then R" is not homeomorphic to R“. In order to confirm our intuitive feeling, we would have to find some topological property of R" which is not possessed by R“. In its full generality, this problem is not ...
Michael C. Gemignani, 1972
10
Geometry and Topology
X and Y are homeomorphic. written X ~ Y, if there exists a homeomorphism /: X — > Y. Example 3 An open interval (a. b) is homeomorphic to the real line, (a. b) ~ R . For example, the map /:(0,l)-> is a homeomorphism. illustrated in Figure 7.3a.
Miles Reid, Balazs Szendroi, 2005

10 NEWS ITEMS WHICH INCLUDE THE TERM «HOMEOMORPHIC»

Find out what the national and international press are talking about and how the term homeomorphic is used in the context of the following news items.
1
Is this the Holy Grail? Bitglass gets patent for searchability over …
... or currently impracticable homeomorphic approaches that propose new algorithms from scratch," Bitglass CEO Nat Kausik said. "The Bitglass ... «Network World, Jul 15»
2
Bitglass Granted Patent on Unique Searchable, Full Strength Cloud …
... weak cyclic ciphers from the Roman empire or currently impracticable homeomorphic approaches that propose new algorithms from scratch," ... «IT Business Net, Jul 15»
3
What Is Topology?
Two objects that can be stretched into the same shape are described as homeomorphic, from Latinized Greek for “similar to” (homeo-) and ... «Live Science, Jun 15»
4
Top Hash Theory
It doesn't matter: so long as they all connect to the right places, it will be homeomorphic to Merkle's original projection, preserving its invariant ... «newsBTC, May 15»
5
Nkrumah Did Not Force His Views On African Leaders 6
In other words there exists a homeomorphic correlation between a line and a circle. Between the line and the circle is an “infinite” range or ... «GhanaWeb, May 15»
6
Biopower and Security
... through which the subject can ostensibly liberate herself, while in fact such narratives, just like the homeomorphic surface of the Möbius strip, ... «CounterPunch, May 15»
7
Homer's Last Theorem
They are considered to be homeomorphic, or topological twins, because a square drawn on a rubber sheet can be transformed into a circle by ... «Boing Boing, Oct 14»
8
The Simpsons Is Much Smarter About Math Than You Ever Would …
They are considered to be homeomorphic, or topological twins, because a square drawn on a rubber sheet can be transformed into a circle by ... «Slate Magazine, Oct 13»
9
Is chess not for everybody?
... closed three-manifold is homeomorphic to the three-sphere”. To avoid citing it, magazines started making up simplifications featuring balls, ... «Chessbase News, Jul 12»
10
Book Review: The Poincare Conjecture: In Search of the Shape of …
If a 3-manifold is homotopy equivalent to the 3-sphere, then it is homeomorphic to it. A homeomorphism or topological isomorphism or ... «Blogcritics.org, Jan 12»

REFERENCE
« EDUCALINGO. Homeomorphic [online]. Available <https://educalingo.com/en/dic-en/homeomorphic>. Dec 2019 ».
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