Urysohn,s Metrization Theorem
المؤلف:
Willard, S.
المصدر:
General Topology. Reading, MA: Addison-Wesley
الجزء والصفحة:
p. 166
3-6-2021
1992
Urysohn's Metrization Theorem
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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