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Cheap proof that the Sorgenfrey line is normal?
general-topology
separation-axioms
sorgenfrey-line
Proving $R_L \times R_L$ is completely regular. Meaning $R_L \times R_L$ is an example of a space which is completely regular, but not normal
real-analysis
general-topology
separation-axioms
product-space
sorgenfrey-line
Show that the Sorgenfrey line does not have a countable basis.
general-topology
second-countable
sorgenfrey-line
How to prove that compact subspaces of the Sorgenfrey line are countable?
general-topology
compactness
sorgenfrey-line
Is there a simple method to prove that the square of the Sorgenfrey line is not normal?
general-topology
separation-axioms
product-space
sorgenfrey-line
$\mathbb{R}$ with the lower limit topology is not second-countable
general-topology
sorgenfrey-line
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