Curry Dawson
02/18/2023 · Junior High School
Determine which of the following statements is true and which is not, with giving the reasons: 1-If \( f:(R, U) \rightarrow(R, U) \) is a function such that \( \mathrm{f}(\mathrm{x})=\mathrm{b} \forall x \in R \), where U is the usual topology on R , then f is continuous, open and closed. 2-A \( A T_{0} \) - space is a topological property, but a disconnected space is not topological. 3-A \( T_{2} \)-space implies a \( T_{1} \)-space implies a \( T_{0} \)-space and the converse is true also.
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1. غير صحيحة.
2. صحيحة.
3. غير صحيحة.
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