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Date: 1-7-2017
1417
Date: 11-8-2021
1754
Date: 7-8-2021
1848
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For every topological T1-space , the following conditions are equivalent.
1. is regular and second countable,
2. is separable and metrizable.
3. is homeomorphic to a subspace of the Hilbert cube.
REFERENCES:
Willard, S. General Topology. Reading, MA: Addison-Wesley, p. 166, 1970.
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