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Covering space and List of general topology topics

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

Difference between Covering space and List of general topology topics

Covering space vs. List of general topology topics

In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below. This is a list of general topology topics, by Wikipedia page.

Similarities between Covering space and List of general topology topics

Covering space and List of general topology topics have 20 things in common (in Unionpedia): Algebraic topology, Connected space, Continuous function, Cover (topology), Covering space, CW complex, Discrete space, Group action, Homeomorphism, Homotopy, Local homeomorphism, Manifold, Neighbourhood (mathematics), Open set, Second-countable space, Semi-locally simply connected, Simply connected space, Topological group, Topological space, Unit interval.

Algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.

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Connected space

In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.

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Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

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Cover (topology)

In mathematics, a cover of a set X is a collection of sets whose union contains X as a subset.

Cover (topology) and Covering space · Cover (topology) and List of general topology topics · See more »

Covering space

In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below.

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CW complex

In topology, a CW complex is a type of topological space introduced by J. H. C. Whitehead to meet the needs of homotopy theory.

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Discrete space

In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points form a discontinuous sequence, meaning they are isolated from each other in a certain sense.

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Group action

In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.

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Homeomorphism

In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.

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Homotopy

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.

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Local homeomorphism

In mathematics, more specifically topology, a local homeomorphism is a function between topological spaces that, intuitively, preserves local (though not necessarily global) structure.

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Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

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Neighbourhood (mathematics)

In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.

Covering space and Neighbourhood (mathematics) · List of general topology topics and Neighbourhood (mathematics) · See more »

Open set

In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.

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Second-countable space

In topology, a second-countable space, also called a completely separable space, is a topological space whose topology has a countable base.

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Semi-locally simply connected

In mathematics, specifically algebraic topology, semi-locally simply connected is a certain local connectedness condition that arises in the theory of covering spaces.

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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.

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Topological group

In mathematics, a topological group is a group G together with a topology on G such that the group's binary operation and the group's inverse function are continuous functions with respect to the topology.

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Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

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Unit interval

In mathematics, the unit interval is the closed interval, that is, the set of all real numbers that are greater than or equal to 0 and less than or equal to 1.

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The list above answers the following questions

Covering space and List of general topology topics Comparison

Covering space has 120 relations, while List of general topology topics has 166. As they have in common 20, the Jaccard index is 6.99% = 20 / (120 + 166).

References

This article shows the relationship between Covering space and List of general topology topics. To access each article from which the information was extracted, please visit:

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