Download GIF - Coloring Pages Space GIF Download Free

Coloring Pages Space GIF Download Free Clipart

In mathematics, specifically algebraic topology, a covering map (also covering projection) is a continuous function p {\displaystyle p} from a topological space C {\displaystyle C} to a topological space X {\displaystyle X} such that each point in X {\displaystyle X} has an open neighborhood evenly covered by p {\displaystyle p} (as shown in the image). In this case, C {\displaystyle C} is called a covering space and X {\displaystyle X} the base space of the covering projection. The definition implies that every covering map is a local homeomorphism. Covering spaces play an important role in homotopy theory, harmonic analysis, Riemannian geometry and differential topology. In Riemannian geometry for example, ramification is a generalization of the notion of covering maps. Covering spaces are also deeply intertwined with the study of homotopy groups and, in particular, the fundamental group. An important application comes from the result that, if X {\displaystyle X} is a 'sufficiently good' topological space, there is a bijection between the collection of all isomorphism classes of connected coverings of X {\displaystyle X} and the conjugacy classes of subgroups of the fundamental group of X {\displaystyle X}. Formal definition Let X {\displaystyle X} be a topological space. A covering space of X {\displaystyle X} is a topological space C {\displaystyle C} together with a continuous surjective map p : C X {\displaystyle p\colon C\to X} such that for every x X {\displaystyle x\in X}, there exists an open neighborhood U {\displaystyle U} of x {\displaystyle x}, such that p 1 ( U ) {\displaystyle p^{-1}(U)} (the pre-image of U {\displaystyle U} under p {\displaystyle p} ) is a union of disjoint open sets in C {\displaystyle C}, each of which is mapped homeomorphically onto U {\displaystyle U} by p {\displaystyle p}. Equivalently, a covering space of X {\displaystyle X} may be defined as a fiber bundle p : C X {\displaystyle p\colon C\to X} with discrete fibers. The map p {\displaystyle p} is called the covering map, the space X {\displaystyle X} is often called the base space of the covering, and the space C {\displaystyle C} is called the total space of the covering.

This GIF Bitmap Image Coloring Pages Space GIF Download Free is a part of Coloring Space Category in Coloring Folder. Coloring Pages Space GIF Download Free has a Resolution of 618x874 Pixels. Coloring Pages Space GIF Download Free is of .gif (Graphics Interchange Format) Format. It's Size is 73.2KB. This GIF has been Downloaded 96 times till now. Coloring Pages Space GIF Download Free was Added on 04-07-2021. Download Coloring Pages Space GIF Download Free by clicking the button below:

Image Name: Coloring Pages Space GIF Download Free
Image Category: Coloring / Coloring Space
Date Added: 04-07-2021
Resolution: 618x874

Format: GIF
Downloads: 96
Views: 172
Size: 73.2KB

Tags:

SIMILAR GIFs

Coloring Pages Space Free Download GIF HD GIF Image
Coloring Pages Space Free GIF HQ GIF Image
Coloring Pages Space HQ Image Free GIF Image
Coloring Pages Space Free HD Image GIF Image
Coloring Pages Space Free HD Image GIF Image
Coloring Pages Space Download HQ GIF Image
Coloring Pages Space Free Photo GIF Image
Coloring Pages Space Free Download GIF HQ GIF Image
Coloring Pages Space Free Transparent Image HQ GIF Image
Coloring Pages Space Download Free Image GIF Image
Coloring Pages Space Free Download GIF HQ GIF Image
Coloring Pages Space Free HQ Image GIF Image
War GIF Download Free GIF Image
War Free Photo GIF Image
War GIF Download Free GIF Image
War Free Clipart HD GIF Image
War Download HD GIF Image
War Download HQ GIF Image