Definition of Sorgenfrey. Meaning of Sorgenfrey. Synonyms of Sorgenfrey

- numbers. The resulting topological space is called the Sorgenfrey line after Robert Sorgenfrey or the arrow and is sometimes written R l {\displaystyle...
- In topology, the Sorgenfrey plane is a frequently-cited counterexample to many otherwise plausible-sounding conjectures. It consists of the product of...
- spaces need not be Lindelöf. For example, the Sorgenfrey line S {\displaystyle S} is Lindelöf, but the Sorgenfrey plane S × S {\displaystyle S\times S} is...
- interval Overlapping interval topology Moore plane Sierpiński space Sorgenfrey line Sorgenfrey plane Space-filling curve Topologist's sine curve Trivial topology...
- University of California, Los Angeles. The Sorgenfrey line and the Sorgenfrey plane are named after him; the Sorgenfrey line was the first example of a normal...
- An example of a separable space that is not second-countable is the Sorgenfrey line S {\displaystyle \mathbb {S} } , the set of real numbers equipped...
- normal. This fact was first proved by Robert Sorgenfrey. An example of this phenomenon is the Sorgenfrey plane. In fact, since there exist spaces which...
- are not locally compact and not completely metrizable: The Sorgenfrey line. The Sorgenfrey plane. The Niemytzki plane. The subspace of R 2 {\displaystyle...
- disconnected. The Cantor set and the Cantor space The Baire space The Sorgenfrey line Every Hausdorff space of small inductive dimension 0 is totally disconnected...
- second-countable, σ-compact, nor locally compact. Sorgenfrey plane, which is the product of two copies of the Sorgenfrey line − A Moore space that is neither normal...