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}.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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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}.
Transcribed Image Text: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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