homotopy sentence in Hindi

Examples

1. For a path connected base, all the different fibers are homotopy equivalent.
2. Each of these constructions yield the same homotopy category.
3. This can be formulated in terms of homotopy theory.
4. If all these vanish, then the map f is a homotopy equivalence.
5. The cellular approximation theorem can be used to immediately calculate some homotopy groups.
6. This is a current research area in Homotopy Type Theory ( HoTT ).
7. Then a homotopy between the two systems is considered.
8. Homotopy Lie algebras and their morphisms define a category.
9. Now consider the homotopy class of continuous paths from to, within the space.
10. An active area of research is the univalent foundations arising from homotopy type theory.