Let X be an infinite set with the finite closed topology T={S subset of X; X-S is finite). Then" O XT)Is homeomorphic to (X,T1) where T1 is the finite closed topology on X O None of the choices, O Every Infinite subset ofX is dense in X OXT) Is not T1 space

Let X be an infinite set with the finite closed topology T={S subset of X; X-S is finite). Then" O XT)Is homeomorphic to (X,T1) where T1 is the finite closed topology on X O None of the choices, O Every Infinite subset ofX is dense in X OXT) Is not T1 space

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 27E: (See Exercise 26) Let A be an infinite set, and let H be the set of all fS(A) such that f(x)=x for...

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Let X be an infinite set with the finite closed topology T={S subset of X; X-S is
finite). Then *
O XDis homeomorphic to (X.T1) where T1 is the finite closed topology on X
None of the choices,
O Every infinite subset ofX is dense in X
(X T) is not T space

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