Let X be a non empty set and p be a fixed point in X. Define T={X, ACX such that p€A}. Then any subset of X containing p is * O open but not closed in (X,T) O clopen in (X,T) neither open nor closed...


Let X be a non empty set and p be a<br>fixed point in X. Define T={X, ACX<br>such that p€A}. Then any subset of X<br>containing p is *<br>O open but not closed in (X,T)<br>O clopen in (X,T)<br>neither open nor closed in (X,T)<br>closed but not open in (X,T)<br>ООО<br>

Extracted text: Let X be a non empty set and p be a fixed point in X. Define T={X, ACX such that p€A}. Then any subset of X containing p is * O open but not closed in (X,T) O clopen in (X,T) neither open nor closed in (X,T) closed but not open in (X,T) ООО

Jun 04, 2022
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