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How can I prove that the Sorgenfrey line is a Lindelöf space?

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#general-topology #sorgenfrey-line #lindelof-spaces
1.4k
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Why the Sorgenfrey plane is not Lindelöf?

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#general-topology #sorgenfrey-line #lindelof-spaces
339
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Boundary points with a lower limit topology

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#general-topology #numerical-methods #sorgenfrey-line
783
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Show that a subset of $\mathbb{R}$ is compact in upper limit topology

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#general-topology #compactness #sorgenfrey-line
5k
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$\mathbb R_l$ is not connected.

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#general-topology #connectedness #sorgenfrey-line
135
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Sorgenfrey Line is not a topological vector space

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#functional-analysis #topological-vector-spaces #sorgenfrey-line
384
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Certain Subset of Sorgenfrey Plane is Closed

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#general-topology #sorgenfrey-line
1.4k
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Sorgenfrey line is hereditarily separable

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#general-topology #separable-spaces #sorgenfrey-line
1.5k
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Subspaces of Sorgenfrey line and a question about Lindelöf spaces

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#general-topology #separable-spaces #sorgenfrey-line
3.2k
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$[0,1)\times[0,1)$ (lower limit topology) is a regular, but not a normal topological space

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#general-topology #examples-counterexamples #separation-axioms #product-space #sorgenfrey-line
5.2k
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How to prove that compact subspaces of the Sorgenfrey line are countable?

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#general-topology #compactness #sorgenfrey-line
2.5k
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Is there a simple method to prove that the square of the Sorgenfrey line is not normal?

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#general-topology #separation-axioms #product-space #sorgenfrey-line
913
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Base for a topology, euclidean topology and Hausdorff

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#general-topology #separation-axioms #sorgenfrey-line
1.8k
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The Sorgenfrey line is hereditarily Lindelöf

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#general-topology #sorgenfrey-line #lindelof-spaces
122
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Validation of my proof for proving that the Sorgenfrey Line does not satisfies the second axiom of countability

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#general-topology #solution-verification #sorgenfrey-line

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