H-cobordism and Homotopy

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between H-cobordism and Homotopy

H-cobordism vs. Homotopy

In geometric topology and differential topology, an (n + 1)-dimensional cobordism W between n-dimensional manifolds M and N is an h-cobordism (the h stands for homotopy equivalence) if the inclusion maps are homotopy equivalences. In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.

Similarities between H-cobordism and Homotopy

H-cobordism and Homotopy have 3 things in common (in Unionpedia): Geometric topology, Poincaré conjecture, Simply connected space.

Geometric topology

In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another.

Geometric topology and H-cobordism · Geometric topology and Homotopy · See more »

Poincaré conjecture

In mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space.

H-cobordism and Poincaré conjecture · Homotopy and Poincaré conjecture · See more »

Simply connected space

In topology, a topological space is called simply connected (or 1-connected, or 1-simply connected) if it is path-connected and every path between two points can be continuously transformed (intuitively for embedded spaces, staying within the space) into any other such path while preserving the two endpoints in question.

H-cobordism and Simply connected space · Homotopy and Simply connected space · See more »

The list above answers the following questions

What H-cobordism and Homotopy have in common
What are the similarities between H-cobordism and Homotopy

H-cobordism and Homotopy Comparison

H-cobordism has 35 relations, while Homotopy has 81. As they have in common 3, the Jaccard index is 2.59% = 3 / (35 + 81).

References

This article shows the relationship between H-cobordism and Homotopy. To access each article from which the information was extracted, please visit:

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