Definition & Meaning | English word CONTRACTIBILITY
CONTRACTIBILITY
Definitions of CONTRACTIBILITY
- The quality or degree of being contractible.
Number of letters
15
Is palindrome
No
Examples of Using CONTRACTIBILITY in a Sentence
- Strong local contractibility is a strictly stronger property than local contractibility; the counterexamples are sophisticated, the first being given by Borsuk and Mazurkiewicz in their paper Sur les rétractes absolus indécomposables, C.
- The existence of such counter-examples that are homeomorphisms was shown in 1943 by Shizuo Kakutani, who may have first written down a proof of the contractibility of the unit sphere.
- Contractibility can be easily seen by noting that the dunce hat embeds in the 3-ball and the 3-ball deformation retracts onto the dunce hat.
- They are generally much smaller than the contractile cells and have few of the myofibrils or myofilaments which means that they have limited contractibility.
- Equivariant extensions have important applications in Teichmüller theory; for example, they lead to a quick proof of the contractibility of the Teichmüller space of a Fuchsian group.
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