Topological Space

Definition Let $X$ be a and $\tau \subset \mathcal{P}(X)$. Then $(X, \tau)$ is a if $X, \emptyset \in \tau$. Suppose $F...

11/7/2022

Topological Basis

Definition Let $X, \tau$ be a . Then $\mathcal{B} \subset \tau$ is a for $X$ if $$\tau = \{\bigcup\limits_{B \in...

11/7/2022

Definition Let $X, Y$ be s and let $f: X \to Y$ be a . $f$ is called a if...

11/7/2022

Topological Basis

Definition Let $X, \tau$ be a . Then $\mathcal{B} \subset \tau$ is a for $X$ if $$\tau = \{\bigcup\limits_{B \in...

11/7/2022

Statement Let $X, Y$ be s and let $F: X \to Y$ be a . Then $F$ is a ...

11/7/2022

Continuous Open Maps transfer Bases

Statement Let $X, Y$ be s and let $X$ have $\mathcal{B}$. Suppose there exists continuou $F:X \to Y$. Then...

11/7/2022