Let X and Y be two discrete spaces, then * X is homeomorphic to Y if and only if X and Y have the same cardinality

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Let X and Y be two discrete spaces,
then *
X is homeomorphic to Y if and only if
X and Y have the same cardinality
X is never homeomorphic to Y
X is homomorphic to Y if and only if X
and Y are both infinite
X is homeomorphic to Y if and only if
X and Y are both finite
Transcribed Image Text:Let X and Y be two discrete spaces, then * X is homeomorphic to Y if and only if X and Y have the same cardinality X is never homeomorphic to Y X is homomorphic to Y if and only if X and Y are both infinite X is homeomorphic to Y if and only if X and Y are both finite
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