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Prove that if a topological space in a set of natural numbers (N) that are discrete and infinitely countable, then the set N is homeomorphic
Prove that if a topological space in a set of natural numbers (N) that are discrete and infinitely countable, then
the set N is homeomorphic to the disjoint union of two copies of itself and the direct product of copies.
(i.e.NNN and NNN)
Hint: This is the same notion as the Cantor set C that is homeomorphic to the disjoint union of Cantor sets.
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