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X be a topology space show that H is open iff no limit point of His in H. 5/a/ Let (X,T) be a first countable space show that there exists a monotone decreasing local base at every point of X. of first countable space is hereditary property.

X be a topology space show that H is open iff no limit point of His in H. 5/a/ Let (X,T) be a first countable space show that there exists a monotone decreasing local base at every point of X. of first countable space is hereditary property.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 55E
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X be a topology space show that H is open iff no limit point of His in H. 5/a/ Let (X,T) be a first countable space show that there exists a monotone decreasing local base at every point of X. of first countable space is hereditary property.
Transcribed Image Text:X be a topology space show that H is open iff no limit point of His in H. 5/a/ Let (X,T) be a first countable space show that there exists a monotone decreasing local base at every point of X. of first countable space is hereditary property.
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