They are generally much smaller than the contractile cells and have few myofibrils which gives them limited contractibility.
2.
Stretching warm muscles after a warm up improves elasticity and contractibility of those muscles, so stretch after you warm up.
3.
Indeed, contractibility of a universal cover is the same, by Whitehead's theorem, as asphericality of it.
4.
Note that we can drop local contractibility as part of the hypothesis, if we use ech cohomology, which is designed to deal with local pathologies.
5.
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.
6.
This shows the close topological relationship, but is not in itself quite enough, since the inclusion of a point will be a weak homotopy equivalence only, and that implies contractibility directly only for a CW complex.
7.
The result on the contractibility of " S " " gives a geometric construction of classifying spaces for certain groups that act freely it, such as the cyclic group with two elements and the circle group.
8.
He was also able to use these definitions of equivalences and contractibility to start developing significant amounts of " synthetic homotopy theory " in the proof assistant Coq; this formed the basis of the library later called " Foundations " and eventually " UniMath ".
9.
Much earlier than the above referred paper, Russell noticed that the hypersurface x + x ^ 2y + z ^ 2 + t ^ 3 = 0 has properties very similar to the affine 3-space like contractibility and was interested in distinguishing it from the affine 3-space as algebraic varieties, necessary for linearizing \ mathbf { C } ^ * actions on \ mathbf { A } ^ 3.
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