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Proposition Let f. X bijective waap then the following statements are (1)-(2) (2) => (1) (2)→ (3) Let (X, TX), (Y, Ty) be top. spaces, be a (1) f is homeomorphism (2) f is continuous and closed (3) f and pl-1) are continuous. (1) equivalent: } (1) <> (²) }(<6)

Proposition Let f. X bijective waap then the following statements are (1)-(2) (2) => (1) (2)→ (3) Let (X, TX), (Y, Ty) be top. spaces, be a (1) f is homeomorphism (2) f is continuous and closed (3) f and pl-1) are continuous. (1) equivalent: } (1) <> (²) }(<6)

Advanced Engineering Mathematics
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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Propesition het (X, Tx),(Yy, Ty) be top. spaces a bijective map then the following stactements ave Let f, X-→Y be equivalent. (1) Ť is homeomorphism (2) f is continuous and close (3) f and f" (1) (2) (2) →い (1)(2) are continuous. (2)> (3)? (2) <) (3) > (2)
Transcribed Image Text:Propesition het (X, Tx),(Yy, Ty) be top. spaces a bijective map then the following stactements ave Let f, X-→Y be equivalent. (1) Ť is homeomorphism (2) f is continuous and close (3) f and f" (1) (2) (2) →い (1)(2) are continuous. (2)> (3)? (2) <) (3) > (2)
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