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Is every metric space also a topological space?

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  • Is every metric space also a topological space?


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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, ...
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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 ...
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Positive: 53 %

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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 ...
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Positive: 56 %
... a metric space is a ... Euclidean space. In fact, the notion of "metric" is a ... A metric space also induces topological properties ...
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Positive: 51 %
Section 21: The Metric Topology ... in any topological space: ... if is continuous at then for every , . in a metric space ...
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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 ...
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Positive: 14 %

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