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Meaning of "contractible" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF CONTRACTIBLE

contractible  [kənˈtræktəb əl] play
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GRAMMATICAL CATEGORY OF CONTRACTIBLE

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

WHAT DOES CONTRACTIBLE MEAN IN ENGLISH?

Contractible space

In mathematics, a topological space X is contractible if the identity map on X is null-homotopic, i.e. if it is homotopic to some constant map. Intuitively, a contractible space is one that can be continuously shrunk to a point. A contractible space is precisely one with the homotopy type of a point. It follows that all the homotopy groups of a contractible space are trivial. Therefore any space with a nontrivial homotopy group cannot be contractible. Similarly, since singular homology is a homotopy invariant, the reduced homology groups of a contractible space are all trivial. For a topological space X the following are all equivalent: ▪ X is contractible. ▪ X is homotopy equivalent to a one-point space. ▪ X deformation retracts onto a point. ▪ Any two maps f,g: YX are homotopic. ▪ Any map f: YX is null-homotopic. The cone on a space X is always contractible. Therefore any space can be embedded in a contractible one. Furthermore, X is contractible if and only if there exists a retraction from the cone of X to X.

Definition of contractible in the English dictionary

The definition of contractible in the dictionary is capable of contracting or shrinking. Other definition of contractible is subject to a contract.

WORDS THAT RHYME WITH CONTRACTIBLE


adjustable
əˈdʒʌstəb əl
collectible
kəˈlɛktəb əl
comptable
ˈkɒmptəb əl
contractable
kənˈtræktəb əl
contradictable
ˌkɒntrəˈdɪktəb əl
convictable
kənˈvɪktəb əl
convictible
kənˈvɪktəb əl
correctable
kəˈrɛktəb əl
correctible
kəˈrɛktəb əl
defectible
dɪˈfɛktəb əl
detectable
dɪˈtɛktəb əl
detectible
dɪˈtɛktəb əl
dissectible
dɪˈsɛktəb əl
distractable
dɪˈstræktəb əl
editable
ˈɛdɪtəb əl
ejectable
ɪˈdʒɛktəb əl
enactable
ɪnˈæktəb əl
erectable
ɪˈrɛktəb əl
expectable
ɪkˈspɛktəb əl
extractible
ɪkˈstræktəb əl

WORDS THAT BEGIN LIKE CONTRACTIBLE

contract of employment
contract of service
contract out
contract price
contract work
contractability
contractable
contractedly
contractedness
contractibility
contractibly
contractile
contractility
contracting party
contraction
contractional
contractionary
contractive
contractively
contractor

WORDS THAT END LIKE CONTRACTIBLE

accessible
biocompatible
combustible
comestible
compatible
constructible
convertible
deductible
digestible
imperceptible
imprescriptible
incompatible
indestructible
inexhaustible
interruptible
irresistible
patible
perceptible
perfectible
susceptible
tax-deductible

Synonyms and antonyms of contractible in the English dictionary of synonyms

SYNONYMS

Translation of «contractible» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF CONTRACTIBLE

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

Translator English - Chinese

缩小
1,325 millions of speakers

Translator English - Spanish

contráctil
570 millions of speakers

English

contractible
510 millions of speakers

Translator English - Hindi

contractible
380 millions of speakers
ar

Translator English - Arabic

contractible
280 millions of speakers

Translator English - Russian

стягиваемы
278 millions of speakers

Translator English - Portuguese

contractible
270 millions of speakers

Translator English - Bengali

সংকোচশীল
260 millions of speakers

Translator English - French

contractile
220 millions of speakers

Translator English - Malay

Terkontrak
190 millions of speakers

Translator English - German

zusammenziehbar
180 millions of speakers

Translator English - Japanese

収縮性の
130 millions of speakers

Translator English - Korean

수축
85 millions of speakers

Translator English - Javanese

Contractible
85 millions of speakers
vi

Translator English - Vietnamese

có thể rút lại
80 millions of speakers

Translator English - Tamil

contractible
75 millions of speakers

Translator English - Marathi

करारयोग्य
75 millions of speakers

Translator English - Turkish

kısılabilen
70 millions of speakers

Translator English - Italian

contraibile
65 millions of speakers

Translator English - Polish

kurczliwe
50 millions of speakers

Translator English - Ukrainian

стягіваеми
40 millions of speakers

Translator English - Romanian

contractibil
30 millions of speakers
el

Translator English - Greek

συστελλόμενος
15 millions of speakers
af

Translator English - Afrikaans

saamtrekbare
14 millions of speakers
sv

Translator English - Swedish

sammandrag
10 millions of speakers
no

Translator English - Norwegian

sammentrekkbar
5 millions of speakers

Trends of use of contractible

TRENDS

TENDENCIES OF USE OF THE TERM «CONTRACTIBLE»

The term «contractible» is regularly used and occupies the 88.893 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
59
/100
The map shown above gives the frequency of use of the term «contractible» in the different countries.
Principal search tendencies and common uses of contractible
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «contractible».

FREQUENCY OF USE OF THE TERM «CONTRACTIBLE» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «CONTRACTIBLE»

Discover the use of contractible in the following bibliographical selection. Books relating to contractible and brief extracts from same to provide context of its use in English literature.
1
An Introduction to Algebraic Topology
D A hemisphere is contractible but not convex, so that the converse of Theorem 1.7 is not true. After proving Theorem 1.6, we observed that Lemma 0.2 implies that S" is not contractible. Exercises 1.1. Let x0,x,e* and let /J: X -* X for i = 0, ...
Joseph J. Rotman, 1988
2
Lectures on Coarse Geometry
By way of variety, we give in this section a calculation of the coarse cohomology for a uniformly contractible space, defined below. Depinition 5.24. Let X be a proper coarse space. One says that X is uniformly contractible if for every controlled ...
John Roe
3
Contractible Chain Complexes for Dade's Invariant Conjecture ...
Jennifer M. Mogel. jective Conjecture, where we count characters that also lie over characters of subgroups of the center of G. As this condition was not used in this thesis, we leave it out of this discussion. 2.3 Contractible Chain Complex ...
Jennifer M. Mogel, 2008
4
Topological Fixed Point Theory of Multivalued Mappings
A space X is said to be locally contractible at a point x0 ∈ X provided for each ε > 0, there exists δ > 0 (δ < ε) and a homotopy h:[0,1] × B(x0 ,δ) → B(x0 ,ε) such that: h(x,0) = x0 and h(x,1) = x, for every x ∈ B(x0 ,δ); in other words the ball B(x0 ,δ) ...
Lech Górniewicz, 2006
5
Introduction to General Topology
1.12 A space X is called contractible if the identity map Ix : X-> X is null- homotopic. Prove that: (i) A contractible space is path connected. (ii) Every map into or from a contractible space is null-homotopic (iii) A space is contractible iff it is ...
K. D. Joshi, 1983
6
Topology
If M is a metric space and has a metric in which M is starlike, then M is contractible. Proof: Let p be the point and d the metric on M such that from each point x in M there is a unique arc px congruent to an interval. Define a mapping h: M X I1 ...
John G. Hocking, Gail S. Young, 2012
7
Lusternik-Schnirelmann Category
It is clear that Ji can be covered by two contractible open subsets: each subset is equal to the union of a fattened hemisphere with two semi-circles containing the basepoint. It also is obvious that Ji ~ J^ (see Exercise 3.5) and that Ji can be ...
Octavian Cornea
8
Cellular Structures in Topology
Since X is contractible, it has the homotopy type of a CW-complex. Suppose there is a CW-structure for X. The points (0,0) and (0, 1/n), for all neN\{0}, cannot be interior points of open cells of dimension > 0, in view of the theorem of invariance  ...
Rudolf Fritsch, Renzo Piccinini, 1990
9
The Infinite-dimensional Topology of Function Spaces
Y] denotes We say that [A', 1'] is trivial if it contains one point only (i.e., all continuous functions from A' to 1' are homotopic and hence nullhomotopic). As we will see, homotopic functions have much in common. A space X is called contractible ...
J. van Mill, 2001
10
Discrete Geometry for Computer Imagery: 13th International ...
In the case of assertion 6, if Xj = x, for some j =/= I, then the case M. = {1, . . . , k} \ {j } of (*) implies that PU\J^=1 Xi is contractible, and so the hypotheses of assertion 6 are inconsistent with assertion 5. In other words, if assertion 5 is true then ...
Attila Kuba, László G. Nyúl, Kálmán Palágyi, 2006

10 NEWS ITEMS WHICH INCLUDE THE TERM «CONTRACTIBLE»

Find out what the national and international press are talking about and how the term contractible is used in the context of the following news items.
1
How do babies learn to talk?
The last one to be added is the contractible auxiliary, which is the ability to turn "Mommy is driving the car" into "Mommy's driving the car. «Minnesota Public Radio News, Jul 15»
2
“Stop the Ride I Want to Get Off!
Sinclair: Part 1 and Part 2 of this interview described how contractible information exchanges can result in the emergence of intelligent buildings. That's a pretty ... «AutomatedBuildings.com, May 15»
3
Skunk Cabbage Provides Nature's Spring Perfume
In fact, the roots are “contractible,” and will dig themselves deeper into the ground year after year, making it almost impossible to pull out the ... «The Vineyard Gazette - Martha's Vineyard News, May 15»
4
PolyU wins top prizes in Geneva's Invention Expo
It is a “multi-able” entity (adjustable, expandable, contractible, and variable) which can solve the many problems of designing and fitting of ... «PR Web, May 15»
5
Tallgrass Energy GP, LP (TEGP) Announces May 7th IPO
... with 100% of its current contractible capacity secured by contracts with a weighted average remaining contract life of approximately 5 years ... «The Legacy, May 15»
6
Tallgrass Energy GP, LP (TEGP) Plans to Raise $900 Million in May …
... with 100% of its current contractible capacity secured by contracts with a weighted average remaining contract life of approximately 5 years ... «Dakota Financial News, Apr 15»
7
This Week: 'Full House' Gets A Reboot & 'People' Mag Names The …
... the medical concerns related to such a challenge, calling it “ridiculous” and even likening the look of the lips to “an illness that's contractible.”. «CBS Local, Apr 15»
8
S. Fla. Doctor Addresses Kylie Jenner Lip Challenge Trend
You're going for beauty and you're going to look like you have an illness that's contractible.” Always the “momager” Kris Jenner was ... «CBS Local, Apr 15»
9
Ebola actually gets worse, news for Merck cancer treatment gets …
Ebola may be contractible through sexual intercourse. That changes the game a bit. Big news for Merck's skin-cancer treatment Keytruda: it ... «MedCity News, Apr 15»
10
Girl on Girl: Safe is sexy
... but the virus is still contractible without being seen. By practicing safe sex, one reduces the probability of getting an STD or getting pregnant. «CU Independent, Apr 15»

REFERENCE
« EDUCALINGO. Contractible [online]. Available <https://educalingo.com/en/dic-en/contractible>. Sep 2020 ».
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