Contractible: meaning, definitions and examples

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contractible

[ kənˈtræktəbl ]

^{Context #1}

in mathematics

Capable of being contracted. The term is used in topology to describe a space that can be continuously deformed to a point.

Synonyms

compressible, reducible

Examples of usage

The circle is contractible to a point.
The sphere is not contractible to a point.

Translations

Translations of the word "contractible" in other languages:

🇵🇹 contratível

🇮🇳 संवहनीय

🇩🇪 zusammenziehbar

🇮🇩 dapat dikontraksi

🇺🇦 стислий

🇵🇱 kurczliwy

🇯🇵 収縮性のある

🇫🇷 contractile

🇪🇸 contráctil

🇹🇷 büzülebilir

🇰🇷 수축할 수 있는

🇸🇦 قابل للانقباض

🇨🇿 srážlivý

🇸🇰 zmrštiteľný

🇨🇳 可收缩的

🇸🇮 krčljiv

🇮🇸 samdráttur

🇰🇿 қысқартылатын

🇬🇪 კონტრაქტული

🇦🇿 büzülə bilən

🇲🇽 contráctil

Word origin

The word 'contractible' originated from the Latin word 'contractibilis', which means 'that can be drawn together'. The term 'contractible' has been used in mathematics since the early 20th century to describe spaces that can be continuously deformed. It is a key concept in topology and plays a significant role in understanding the properties of geometric shapes.