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List of general topology topics and Pointed space

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

Difference between List of general topology topics and Pointed space

List of general topology topics vs. Pointed space

This is a list of general topology topics, by Wikipedia page. In mathematics, a pointed space is a topological space with a distinguished point, the basepoint.

Similarities between List of general topology topics and Pointed space

List of general topology topics and Pointed space have 12 things in common (in Unionpedia): Algebraic topology, Compactly generated space, Continuous function, Discrete space, Homeomorphism, Homotopy, Product topology, Quotient space (topology), Smash product, Subspace topology, Topological space, Wedge sum.

Algebraic topology

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

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Compactly generated space

In topology, a compactly generated space (or k-space) is a topological space whose topology is coherent with the family of all compact subspaces.

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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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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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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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Product topology

In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology.

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Quotient space (topology)

In topology and related areas of mathematics, a quotient space (also called an identification space) is, intuitively speaking, the result of identifying or "gluing together" certain points of a given topological space.

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Smash product

In mathematics, the smash product of two pointed spaces (i.e. topological spaces with distinguished basepoints) X and Y is the quotient of the product space X × Y under the identifications (x, y0) ∼ (x0, y) for all x ∈ X and y ∈ Y.

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Subspace topology

In topology and related areas of mathematics, a subspace of a topological space X is a subset S of X which is equipped with a topology induced from that of X called the subspace topology (or the relative topology, or the induced topology, or the trace 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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Wedge sum

In topology, the wedge sum is a "one-point union" of a family of topological spaces.

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The list above answers the following questions

List of general topology topics and Pointed space Comparison

List of general topology topics has 166 relations, while Pointed space has 36. As they have in common 12, the Jaccard index is 5.94% = 12 / (166 + 36).

References

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

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