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b) Let be a set of integers and T={o}{U,,ne N), on N. Show that whether (N,T) is 1) T₁-spr.ce or not 3) normal space or not 4) connected space or not www U₁ = {n,n+1,...}, T is a topology 2) T2-space or not 9

b) Let be a set of integers and T={o}{U,,ne N), on N. Show that whether (N,T) is 1) T₁-spr.ce or not 3) normal space or not 4) connected space or not www U₁ = {n,n+1,...}, T is a topology 2) T2-space or not 9

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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b) Let be a set of integers and T={o}{U,,ne N}, on N. Show that whether (N,T) is 1) T₁-sp.ce or not 3) normal space or not 4) connected space or not U₂ = {a,n+1,...}, T is a topology 2) T2-space or not 9
Transcribed Image Text:b) Let be a set of integers and T={o}{U,,ne N}, on N. Show that whether (N,T) is 1) T₁-sp.ce or not 3) normal space or not 4) connected space or not U₂ = {a,n+1,...}, T is a topology 2) T2-space or not 9
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