Word.ws English Dictionary

Alexandrov topologies

Alexandrov topologies is the plural of Alexandrov topology.

Meaning of Alexandrov topology

Noun

Alexandrov topology (plural Alexandrov topologies)

  1. A topology in which the intersection of any family of open sets is an open set.
    • 4.24. THEOREM. The following three restrictions on a space-time M are equivalent:
      (a) M is strongly causal;
      (b) the Alexandrov topology agrees with the manifold topology;
      (c) the Alexandrov topology is Hausdorff.1972, Roger Penrose, Techniques of Differential Topology in Relativity, SIAM, page 34

Questions about Alexandrov topologies

What is Alexandrov topologies the plural of?
Alexandrov topologies is the plural of Alexandrov topology.

Words near Alexandrov topologies in the dictionary

  1. Alexandropol
  2. Alexandropolis
  3. Alexandros
  4. Alexandroupoli
  5. Alexandrov
  6. Alexandrov topologies
  7. Alexandrov topology
  8. Alexandrovsk-Sakhalinsky
  9. Alexandrow
  10. Alexandru cel Bun
  11. Alexandru I. Cuza

Source and license

Adapted from Wiktionary: Alexandrov topologies (page history and authors); Alexandrov topology (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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