Properties. 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.
Definition Symbol-free definition. A topological space is said to be contractible if it satisfies the following equivalent conditions: It is in the same homotopy ...
Talk:Contractible space. WikiProject Mathematics (Rated Start-class, Mid-importance) This article is within the scope of WikiProject Mathematics, a ...
Contractible space synonyms, ... contractible; Contractible space; Contractibleness; contractile; contractile organ; contractile vacuole; contractility; contracting;
In Hatcher's algebraic topology the exercise of first chapter gives a example that there is a space which is contractible but not homotopic to a point.(i.e. the space ...
Sometimes one allows also the empty object ∅ \emptyset to be contractible. To distinguish this, we say. an ∞ \infty-groupoid is (-1)-truncated (is a (-1)-groupoid ...
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Properties . 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.
A contractible space is path connected. up vote 1 down vote favorite. 1. Let the space be $X$ and $\rm ... How to construct a contractible space but not locally path ...
Definitions of contractible space, synonyms, antonyms, derivatives of contractible space, analogical dictionary of contractible space (English)