2. Let X = {a,b,c,d} and T ={ø.{a},{b},{a,b},{a,b,d},{a,b,c},X}.a) Show that T is a topology on X.b) What are the closed sets in T?%3Dc) What are the closures and interiors of {a} and {b}?d) Determine of the closure of {a,c}.

Answered: Image /qna-images/answer/84d7feab-6996-4683-b8b3-1c4f411e55ef.jpg

2. Let X = {a,b,c,d} and T = {ø,{a},{b},{a,b},{a,b,d},{a,b,c}, X}. a) Show that T is a topology on X. b) What are the closed sets in T? %3D %3D c) What are the closures and interiors of {a} and {b} ? d) Determine of the closure of {a,c}.

2. Let X = {a,b,c,d} and T = {ø,{a},{b},{a,b},{a,b,d},{a,b,c}, X}. a) Show that T is a topology on X. b) What are the closed sets in T? %3D %3D c) What are the closures and interiors of {a} and {b} ? d) Determine of the closure of {a,c}.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.1: Sets And Geometry

Problem 11E: For the sets gives in Exercise 9, is there a distributive relationship for union with respect with...

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Question

2. Let X = {a,b,c,d} and T ={ø.{a},{b},{a,b},{a,b,d},{a,b,c},X}.
a) Show that T is a topology on X.
b) What are the closed sets in T?
%3D
c) What are the closures and interiors of {a} and {b}?
d) Determine of the closure of {a,c}.

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