In topology, a branch of mathematics, two continuous functions from one topological space to another are called homotopic

1 нояб. 2022 г. · a homotopy class is an equivalence class under homotopy: For f : X → Y f \;\colon\; X \to Y a continuous function between topological spaces which admit the ...

Two maps are homotopic if one can be deformed into the other. This equivalence relation is transitive because these homotopy deformations can be composed.

In mathematics, the homotopy category is a category built from the category of topological spaces which in a sense identifies two spaces that have the same ...

In homotopy geometric region is called a homotopy class. The set of all such classes can be given an algebraic structure called a group.

29 мар. 2024 г. · The K-homotopy class of f is the equivalence class of f under the equivalence relation defined by homotopy relative to K.

25 апр. 2018 г. · Munkres's Topology denotes the set of homotopy classes of maps of X into Y by [X,Y]. How do we write [X,Y] in the sense of set, i.e., [X,Y]={[f] ... Homotopy class of map from torus to sphere? Homotopy class of maps between orientable surfaces Другие результаты с сайта math.stackexchange.com

The basic problem of homotopy theory is to classify spaces and maps between spaces up to homotopy by means of algebraic invariants such as homology or ...

Using such a representation we show that homotopy class constraints can be seamlessly integrated with graph search techniques for determining optimal paths ...

5 дней назад · Homotopy, in mathematics, a way of classifying geometric regions by studying the different types of paths that can be drawn in the region.