Proposition 2.18. Let (X,T) be a topological space : (1) (A°)° = A°. (2) ACB⇒ A° C B° for all A, B € X. (3) (An B) = An B° for all A, B E X.
Proposition 2.18. Let (X,T) be a topological space : (1) (A°)° = A°. (2) ACB⇒ A° C B° for all A, B € X. (3) (An B) = An B° for all A, B E X.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Proposition 2.18. Let (X,T) be a topological space :
(1) (A°)° = A°.
(2) ACB⇒ A CB
(3) (An B) = Aºn B°
for all A, B € X.
for all A, B E X.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F857c2ca2-383d-4e47-b450-842a0c1f70f7%2F6f1c2db5-23e7-4978-ada2-ae1a38eab84e%2Fiewevzh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Proposition 2.18. Let (X,T) be a topological space :
(1) (A°)° = A°.
(2) ACB⇒ A CB
(3) (An B) = Aºn B°
for all A, B € X.
for all A, B E X.
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