homotopic वाक्य

उदाहरण वाक्य

1. 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.
2. A closed curve is called "'essential "'if it is not homotopic to a point, a puncture, or a boundary component.
3. The " cuff lengths " \ ell _ i are simply the lengths of the closed geodesics homotopic to the f ( \ gamma _ i ).
4. By taking " k " big enough, we see that ? is homotopic, with respect to the base point, to the constant map . \ Box
5. 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.
6. If for some " i " all maps are null homotopic, then the group ? " i " consists of one element, and is called the trivial group.
7. 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.
8. 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.
9. 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.
10. 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.