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Date: 22-6-2021
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Date: 25-7-2021
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Date: 29-7-2021
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The topology induced by a topological space on a subset
. The open sets of
are the intersections
, where
is an open set of
.
For example, in the relative topology of the interval induced by the Euclidean topology of the real line, the half-open interval
is open since it coincides with
. This example shows that an open set of the relative topology of
need not be open in the topology of
.
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