Let X be an infinite set with the finite closed topology T={S subset of X; X-S is finite}. Then (X,T) is homeomorphic to (X,T1) where T1 is the finite closed topology on X None of the choices O (X,T)...


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

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

Jun 05, 2022
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