The British Rail metric (also called the Post Office metric or the SNCF metric) ... Every metric space is a topological space in a natural manner, ...
Read more

Positive: 56 %

Every metric space can be given a ... Every subset of a topological space can be given the subspace topology in which the ... See also. Space ...
Read more

Positive: 53 %

More resources

Topological space See also. ... A variety of topologies can be placed on a set to form a topological space. When every set in ... Every metric space can ...
Read more

Positive: 56 %

... a metric space is a ... Euclidean space. In fact, the notion of "metric" is a ... A metric space also induces topological properties ...
Read more

Positive: 51 %

Section 21: The Metric Topology ... in any topological space: ... if is continuous at then for every , . in a metric space ...
Read more

Positive: 37 %

Every discrete metric space is bounded. Every discrete space is ... a function f from a topological space Y to a discrete space X is ... (also called the ...
Read more

Positive: 14 %

Show more results

Every metric space is a topological space. The open sets are simply the sets that are open in the metric space sense
Read more

Positive: 56 %

Any metric space is Hausdorff in the ... If is a topological space such that, for every , ... locally Hausdorff space: every point is contained in an open ...
Read more

Positive: 55 %

Every metric space is a topological space. The open sets are simply the sets that are open in the metric space sense.
Read more

Positive: 50 %

Metric space, in mathematics, especially topology, an abstract set with a distance function, called a metric, that specifies a nonnegative distance between ...
Read more

Read more

56 %