Difference between revisions of "Sorgenfrey Plane"
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Latest revision as of 05:42, 1 December 2018
The Sorgenfrey Plane is an example of a product space of two Lindelöf spaces that is not itself Lindelöf.^{[1]} It should be noted that the Sorgenfrey plane is not normal.
Definition
The Sorgenfrey Plane, named after mathematician Robert Sorgenfrey, is defined as the product topology of two Lindelöf spaces: $$\mathbb{R}_\ell \times \mathbb{R}_\ell = \mathbb{R}^2_\ell$$
Further Reading
External Links
References
 ↑ Munkres, James R. Topology, 2015. pg. 191.