homotopic वाक्य
उदाहरण वाक्य
मोबाइल
- Since these form an open cover for " X " and simplices are chain homotopic to the identity map on homology ).
- This is equivalent to requiring that the composition X \ rightarrow BG \ rightarrow B ( G / O ) is null-homotopic.
- Replacing ? by a homotopic curve, it may be assumed that ? is a smooth Jordan curve ? with non-vanishing derivative.
- In particular, a counterclockwise interchange by half a turn is " not " homotopic to a clockwise interchange by half a turn.
- In non-homotopic paths, one cannot get from any point at one time slice to any other point at the next time slice.
- Each of these is homotopic to a curve that consists of 3 geodesic segments, the middle one of which follows the geodesic of ?.
- Last year's winner Tan Zi Hua was given a special commission at the Festival, and presented his Under The Homotopic Silhouettes for quintet.
- If f is a simplicial approximation to a continuous map F, then the geometric realization of f, | f | is necessarily homotopic to F.
- 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.
- No CTC can be continuously deformed as a CTC ( is timelike homotopic ) to a point, as that point would not be causally well behaved.
- This result is very important, in that it underpins homotopy theory, allowing homotopic deformations to be understood as continuous paths in the space of functions.
- A closed curve is called "'essential "'if it is not homotopic to a point, a puncture, or a boundary component.
- The " cuff lengths " \ ell _ i are simply the lengths of the closed geodesics homotopic to the f ( \ gamma _ i ).
- By taking " k " big enough, we see that ? is homotopic, with respect to the base point, to the constant map . \ Box
- Recently, Discrete Morse theory has shown promise for computational homology because it can reduce a given simplicial complex to a much smaller cellular complex which is homotopic to the original one.
- If for some " i " all maps are null homotopic, then the group ? " i " consists of one element, and is called the trivial group.
- Among other things, he proved that, roughly speaking, any homotopy equivalence of Haken manifolds is homotopic to a homeomorphism, i . e . that closed Haken manifolds are topologically rigid.
- If c is not null-homotopic this mapping class is nontrivial, and more generally the Dehn twists defined by two non-homotopic curves are distinct elements in the mapping class group.
- If c is not null-homotopic this mapping class is nontrivial, and more generally the Dehn twists defined by two non-homotopic curves are distinct elements in the mapping class group.
- We can specify a homeomorphism of the boundary of a solid torus to " T " by having the meridian curve of the solid torus map to a curve homotopic to \ gamma.
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