Let X be an infinite set with the countable closed topology T={S subset of X; X-S is countable}. Then * O (X,T) is not connected O None of the choices (X,T) is connected O (X,T) is homeomorphic to (X,T1) where T1 is the finite closed topology on X

Let X be an infinite set with the countable closed topology T={S subset of X; X-S is countable}. Then * O (X,T) is not connected O None of the choices (X,T) is connected O (X,T) is homeomorphic to (X,T1) where T1 is the finite closed topology on X

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Question

open in R
O not open in (Y,Ty) and open in R
open in (Y,Ty) and not open in R
Let X be an infinite set with the countable closed topology T={S subset of X; X-S
is countable). Then *
O (X,T) is not connected
O None of the choices
O (X,T) is connected
O X,T) is homeomorphic to (X,T1) where T1 is the finite closed topology on X
We define the included point topology by Tp%3{UcR;U=Ø or peU). Let A = [3,5[,

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