alexandrov topology
Word Rarity
Very rare
Frequency: 1.74 in modern English
35
Scrabble Score
18
Letters
5
Syllables
13
Unique Chars
Meaning
Example Sentences
- "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."
- "In Minkowski space-time there is, indeed, a topology definable solely in terms of the causal connectivity among events, the Alexandrov topology, which is provably equivalent to the ordinary manifold topology."
- "2016, Piero Pagliani, Covering Rough Sets and Formal Topology — A Uniform Approach Through Intensional and Extensional Operators, James F. Peters, Andrzej Skowron (editors), Transactions on Rough Sets XX, Springer, LNCS 10020, page 134, (6) S_0,2(P(R_C)) is the family of open sets of the Alexandrov topology induced by R_C and S(P(R_C)) is the family of closed sets of the Alexandrov topology induced by R^⌣_C;"
Etymology
Along with the closely related concept of Alexandrov-discrete space, after Russian mathematician Pavel Sergeyevich Alexandrov.