Since these form an open cover for " X " and simplices are chain homotopic to the identity map on homology ).
22.
This is equivalent to requiring that the composition X \ rightarrow BG \ rightarrow B ( G / O ) is null-homotopic.
23.
Replacing ? by a homotopic curve, it may be assumed that ? is a smooth Jordan curve ? with non-vanishing derivative.
24.
In particular, a counterclockwise interchange by half a turn is " not " homotopic to a clockwise interchange by half a turn.
25.
In non-homotopic paths, one cannot get from any point at one time slice to any other point at the next time slice.
26.
Each of these is homotopic to a curve that consists of 3 geodesic segments, the middle one of which follows the geodesic of ?.
27.
Last year's winner Tan Zi Hua was given a special commission at the Festival, and presented his Under The Homotopic Silhouettes for quintet.
28.
If f is a simplicial approximation to a continuous map F, then the geometric realization of f, | f | is necessarily homotopic to F.
29.
For instance, the Mostow rigidity theorem states that a homotopy equivalence between closed hyperbolic manifolds is homotopic to an isometry in particular, to a homeomorphism.
30.
No CTC can be continuously deformed as a CTC ( is timelike homotopic ) to a point, as that point would not be causally well behaved.
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