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Comparison of topologies and List of general topology topics

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

Difference between Comparison of topologies and List of general topology topics

Comparison of topologies vs. List of general topology topics

In topology and related areas of mathematics, the set of all possible topologies on a given set forms a partially ordered set. This is a list of general topology topics, by Wikipedia page.

Similarities between Comparison of topologies and List of general topology topics

Comparison of topologies and List of general topology topics have 7 things in common (in Unionpedia): Continuous function, Discrete space, Open and closed maps, Order theory, Strong topology (polar topology), Subbase, Trivial topology.

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.

Comparison of topologies and Continuous function · Continuous function and List of general topology topics · See more »

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.

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

Open and closed maps

In topology, an open map is a function between two topological spaces which maps open sets to open sets.

Comparison of topologies and Open and closed maps · List of general topology topics and Open and closed maps · See more »

Order theory

Order theory is a branch of mathematics which investigates the intuitive notion of order using binary relations.

Comparison of topologies and Order theory · List of general topology topics and Order theory · See more »

Strong topology (polar topology)

In functional analysis and related areas of mathematics the strong topology is the finest polar topology, the topology with the most open sets, on a dual pair.

Comparison of topologies and Strong topology (polar topology) · List of general topology topics and Strong topology (polar topology) · See more »

Subbase

In topology, a subbase (or subbasis) for a topological space with topology is a subcollection of that generates, in the sense that is the smallest topology containing.

Comparison of topologies and Subbase · List of general topology topics and Subbase · See more »

Trivial topology

In topology, a topological space with the trivial topology is one where the only open sets are the empty set and the entire space.

Comparison of topologies and Trivial topology · List of general topology topics and Trivial topology · See more »

The list above answers the following questions

Comparison of topologies and List of general topology topics Comparison

Comparison of topologies has 31 relations, while List of general topology topics has 166. As they have in common 7, the Jaccard index is 3.55% = 7 / (31 + 166).

References

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

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