1) If CI(A)= Int B = (1,4) for some subsets A,B of [0,6].Then ([0,6],T) is: A)disconnected B) connected C) second countable D)separable 2) The following is a first countable space: A) (R, Tcot) B) ([0,1],Tcoc) C) (R,Tdis) D) (R-Q, Tcot) 3) The following is a second countable space: A) (R, Tcot) B) (Q ,Tcot) C) (R,Tdis) D) (R-Q, Tcoc)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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1) If CI(A)= Int B = (1,4) for some subsets A,B of [0,6].Then ([0,6],T) is:
A)disconnected B) connected C) second countable D)separable
2) The following is a first countable space: A) (R, Tcot) B) ([0,1],Tcoc)
C) (R,Tdis)
D) (R-Q, Tcot)
3) The following is a second countable space: A) (R, Tcot) B) (Q ,Tcot)
C) (R,Tdis)
D) (R-Q, Tcoc)
Transcribed Image Text:1) If CI(A)= Int B = (1,4) for some subsets A,B of [0,6].Then ([0,6],T) is: A)disconnected B) connected C) second countable D)separable 2) The following is a first countable space: A) (R, Tcot) B) ([0,1],Tcoc) C) (R,Tdis) D) (R-Q, Tcot) 3) The following is a second countable space: A) (R, Tcot) B) (Q ,Tcot) C) (R,Tdis) D) (R-Q, Tcoc)
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