Matches in SemOpenAlex for { <https://semopenalex.org/work/W2005193785> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W2005193785 endingPage "2890" @default.
- W2005193785 startingPage "2876" @default.
- W2005193785 abstract "Properties of σ space [a set Ω of points P with a real function σ(P,P′) given on Ω] are investigated. A continuity of the set Ω is not necessary and, generally, geometry is discrete. The properties of the world function σ are investigated. At certain (extremal) world function properties the σ space is shown to be a subset of points of Euclidean space or Riemannian space. The presented approach has the peculiarity that no operation other than the function σ is given on σ space. In particular, all such operations as linear operation over vectors, constructing lines and planes, and dimension of the space are expressed through the world function σ and only through it (if it is extremal). A violation of the σ-space extremality leads to going out beyond the frames of Riemannian geometry (lines are substituted by tubes of lines, etc.). The presented approach can be useful in quantum gravitation, string models, and other problems, where the properties of the event space at small distances are important." @default.
- W2005193785 created "2016-06-24" @default.
- W2005193785 creator A5060533961 @default.
- W2005193785 date "1990-12-01" @default.
- W2005193785 modified "2023-09-27" @default.
- W2005193785 title "Extremal properties of Synge’s world function and discrete geometry" @default.
- W2005193785 cites W2106016613 @default.
- W2005193785 cites W2145369409 @default.
- W2005193785 doi "https://doi.org/10.1063/1.528940" @default.
- W2005193785 hasPublicationYear "1990" @default.
- W2005193785 type Work @default.
- W2005193785 sameAs 2005193785 @default.
- W2005193785 citedByCount "36" @default.
- W2005193785 countsByYear W20051937852017 @default.
- W2005193785 countsByYear W20051937852020 @default.
- W2005193785 crossrefType "journal-article" @default.
- W2005193785 hasAuthorship W2005193785A5060533961 @default.
- W2005193785 hasConcept C111919701 @default.
- W2005193785 hasConcept C134306372 @default.
- W2005193785 hasConcept C14036430 @default.
- W2005193785 hasConcept C142730499 @default.
- W2005193785 hasConcept C157486923 @default.
- W2005193785 hasConcept C176370821 @default.
- W2005193785 hasConcept C181104567 @default.
- W2005193785 hasConcept C186450821 @default.
- W2005193785 hasConcept C202444582 @default.
- W2005193785 hasConcept C2524010 @default.
- W2005193785 hasConcept C2778572836 @default.
- W2005193785 hasConcept C33676613 @default.
- W2005193785 hasConcept C33923547 @default.
- W2005193785 hasConcept C37914503 @default.
- W2005193785 hasConcept C41008148 @default.
- W2005193785 hasConcept C78458016 @default.
- W2005193785 hasConcept C86803240 @default.
- W2005193785 hasConceptScore W2005193785C111919701 @default.
- W2005193785 hasConceptScore W2005193785C134306372 @default.
- W2005193785 hasConceptScore W2005193785C14036430 @default.
- W2005193785 hasConceptScore W2005193785C142730499 @default.
- W2005193785 hasConceptScore W2005193785C157486923 @default.
- W2005193785 hasConceptScore W2005193785C176370821 @default.
- W2005193785 hasConceptScore W2005193785C181104567 @default.
- W2005193785 hasConceptScore W2005193785C186450821 @default.
- W2005193785 hasConceptScore W2005193785C202444582 @default.
- W2005193785 hasConceptScore W2005193785C2524010 @default.
- W2005193785 hasConceptScore W2005193785C2778572836 @default.
- W2005193785 hasConceptScore W2005193785C33676613 @default.
- W2005193785 hasConceptScore W2005193785C33923547 @default.
- W2005193785 hasConceptScore W2005193785C37914503 @default.
- W2005193785 hasConceptScore W2005193785C41008148 @default.
- W2005193785 hasConceptScore W2005193785C78458016 @default.
- W2005193785 hasConceptScore W2005193785C86803240 @default.
- W2005193785 hasIssue "12" @default.
- W2005193785 hasLocation W20051937851 @default.
- W2005193785 hasOpenAccess W2005193785 @default.
- W2005193785 hasPrimaryLocation W20051937851 @default.
- W2005193785 hasRelatedWork W2005193785 @default.
- W2005193785 hasRelatedWork W2010933958 @default.
- W2005193785 hasRelatedWork W2049473448 @default.
- W2005193785 hasRelatedWork W2105325102 @default.
- W2005193785 hasRelatedWork W2465384711 @default.
- W2005193785 hasRelatedWork W4281745187 @default.
- W2005193785 hasRelatedWork W4296607047 @default.
- W2005193785 hasRelatedWork W4300078480 @default.
- W2005193785 hasRelatedWork W4301114481 @default.
- W2005193785 hasRelatedWork W4382927771 @default.
- W2005193785 hasVolume "31" @default.
- W2005193785 isParatext "false" @default.
- W2005193785 isRetracted "false" @default.
- W2005193785 magId "2005193785" @default.
- W2005193785 workType "article" @default.