Noun:

સંકોચન, સંકોચનક્ષમતા,

contractibility's Usage Examples:

; Erickson, Jeff; Worah, Pratik (2008), "Testing contractibility in planar Rips complexes", Proceedings of the 24th Annual ACM Symposium.

Indeed, contractibility of a universal cover is the same, by Whitehead"s theorem, as asphericality.

condition (simple-connectedness) together imply a strong global property (contractibility); or in the Riemannian case, diffeomorphism with Rn.

immediately after death resulted in valuable discoveries in contractibility, calorification, and capillary circulation.

condition, that the object has no holes of any dimension, is called contractibility.

Strong local contractibility is a strictly stronger property than local contractibility; the counterexamples are sophisticated.

Teichmüller theory, for example they lead to a quick proof of the contractibility of the Teichmüller space of a Fuchsian group.

In 1932 Borsuk asked whether compactness together with contractibility could be a necessary and sufficient condition for the FPP to hold.

In other categories than topological spaces, the notion of contractibility has to be replaced by suitable analogs, such as acyclicity in the category.

by Shizuo Kakutani, who may have first written down a proof of the contractibility of the unit sphere.

contractibility is a strictly stronger property than local contractibility; the counterexamples are sophisticated, the first being given by Borsuk and Mazurkiewicz.

Note that we can drop local contractibility as part of the hypothesis, if we use Čech cohomology, which is designed.

other categories than topological spaces, the notions of homotopy and contractibility have to be replaced by suitable analogs, such as homology equivalences.