Let X and Y be two discrete spaces, then * 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 have the same cardinality X is homeomorphic to Y if and only if X and Y are both finite
Let X and Y be two discrete spaces, then * 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 have the same cardinality X is homeomorphic to Y if and only if X and Y are both finite
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let X and Y be two discrete spaces,
then *
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 have the same cardinality
X is homeomorphic to Y if and only if
X and Y are both finite](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2632c2ba-fdd9-4a7d-a97f-a94ef7ddff57%2Feceaee06-a792-4cc5-a213-27d4f5fe123c%2Fql1zhss_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X and Y be two discrete spaces,
then *
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 have the same cardinality
X is homeomorphic to Y if and only if
X and Y are both finite
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