Category:Sorgenfrey Line
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This category contains results about the Sorgenfrey line.
Let $\R$ be the set of real numbers
Let $\BB$ be the set:
- $\BB = \set {\hointr a b: a, b \in \R}$
where $\hointr a b$ is the half-open interval $\set {x \in \R: a \le x < b}$.
Then $\BB$ is the basis for a topology $\tau$ on $\R$.
The topological space $T = \struct {\R, \tau}$ is referred to as the Sorgenfrey line.
Pages in category "Sorgenfrey Line"
The following 12 pages are in this category, out of 12 total.
S
- Sorgenfrey Line is Expansion of Real Line
- Sorgenfrey Line is First-Countable
- Sorgenfrey Line is Hausdorff
- Sorgenfrey Line is Lindelöf
- Sorgenfrey Line is not Second-Countable
- Sorgenfrey Line is Perfectly Normal
- Sorgenfrey Line is Separable
- Sorgenfrey Line is Topology
- Sorgenfrey Line satisfies all Separation Axioms