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Compactly generated space and List of general topology topics

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

Difference between Compactly generated space and List of general topology topics

Compactly generated space vs. List of general topology topics

In topology, a compactly generated space (or k-space) is a topological space whose topology is coherent with the family of all compact subspaces. This is a list of general topology topics, by Wikipedia page.

Similarities between Compactly generated space and List of general topology topics

Compactly generated space and List of general topology topics have 18 things in common (in Unionpedia): Alexandrov topology, Algebraic topology, Closed set, Compact space, Compact-open topology, Comparison of topologies, Continuous function, Cover (topology), CW complex, First-countable space, Hausdorff space, Locally compact space, Metric space, Open set, Product topology, Quotient space (topology), Subspace topology, Topological space.

Alexandrov topology

In topology, an Alexandrov topology is a topology in which the intersection of any family of open sets is open.

Alexandrov topology and Compactly generated space · Alexandrov topology and List of general topology topics · See more »

Algebraic topology

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

Algebraic topology and Compactly generated space · Algebraic topology and List of general topology topics · See more »

Closed set

In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.

Closed set and Compactly generated space · Closed set and List of general topology topics · See more »

Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

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Compact-open topology

In mathematics, the compact-open topology is a topology defined on the set of continuous maps between two topological spaces.

Compact-open topology and Compactly generated space · Compact-open topology and List of general topology topics · See more »

Comparison of topologies

In topology and related areas of mathematics, the set of all possible topologies on a given set forms a partially ordered set.

Compactly generated space and Comparison of topologies · Comparison of topologies and List of general topology topics · See more »

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.

Compactly generated space and Continuous function · Continuous function and List of general topology topics · See more »

Cover (topology)

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

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

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.

CW complex and Compactly generated space · CW complex and List of general topology topics · See more »

First-countable space

In topology, a branch of mathematics, a first-countable space is a topological space satisfying the "first axiom of countability".

Compactly generated space and First-countable space · First-countable space and List of general topology topics · See more »

Hausdorff space

In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods.

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Locally compact space

In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.

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Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

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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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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.

Compactly generated space and Quotient space (topology) · List of general topology topics and Quotient space (topology) · See more »

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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The list above answers the following questions

Compactly generated space and List of general topology topics Comparison

Compactly generated space has 35 relations, while List of general topology topics has 166. As they have in common 18, the Jaccard index is 8.96% = 18 / (35 + 166).

References

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

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