Category:Urysohn Functions
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This category contains results about Urysohn Functions.
Let $T = \struct {S, \tau}$ be a topological space.
Let $A, B \subseteq S$ such that $A \cap B = \O$.
Let $f: S \to \closedint 0 1$ be a continuous mapping where $\closedint 0 1$ is the closed unit interval.
Then $f$ is an Urysohn function for $A$ and $B$ if and only if:
- $f {\restriction_A} = 0, f {\restriction_B} = 1$
that is:
- $\forall a \in A: \map f a = 0$
- $\forall b \in B: \map f b = 1$
Pages in category "Urysohn Functions"
The following 3 pages are in this category, out of 3 total.