Matches in SemOpenAlex for { <https://semopenalex.org/work/W84904337> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W84904337 abstract "If a bounded set Let F ⊂ R n consists of at least two points, then there exists a finite partition F = F1 ⋃ ⋯ ⋃ F k such that for every i = 1, ⋯, k the diameter diam F i = sup of the part F i is smaller than diam F. The least positive integer k for which such a partition exists is said to be the Borsuk number of k, since K. Borsuk considered this question for two-dimensional sets and for the n-dimensional ball B ⊂ R n . One motivation for these investigations was given by the famous theorem of Borsuk and Ulam, referring to continuous mappings of the n-sphere into R n ." @default.
- W84904337 created "2016-06-24" @default.
- W84904337 creator A5040806028 @default.
- W84904337 creator A5048706426 @default.
- W84904337 creator A5080658172 @default.
- W84904337 date "1997-01-01" @default.
- W84904337 modified "2023-09-27" @default.
- W84904337 title "Borsuk’s partition problem" @default.
- W84904337 doi "https://doi.org/10.1007/978-3-642-59237-9_5" @default.
- W84904337 hasPublicationYear "1997" @default.
- W84904337 type Work @default.
- W84904337 sameAs 84904337 @default.
- W84904337 citedByCount "0" @default.
- W84904337 crossrefType "book-chapter" @default.
- W84904337 hasAuthorship W84904337A5040806028 @default.
- W84904337 hasAuthorship W84904337A5048706426 @default.
- W84904337 hasAuthorship W84904337A5080658172 @default.
- W84904337 hasConcept C114614502 @default.
- W84904337 hasConcept C118615104 @default.
- W84904337 hasConcept C122041747 @default.
- W84904337 hasConcept C134306372 @default.
- W84904337 hasConcept C199360897 @default.
- W84904337 hasConcept C33923547 @default.
- W84904337 hasConcept C34388435 @default.
- W84904337 hasConcept C41008148 @default.
- W84904337 hasConcept C42812 @default.
- W84904337 hasConcept C97137487 @default.
- W84904337 hasConceptScore W84904337C114614502 @default.
- W84904337 hasConceptScore W84904337C118615104 @default.
- W84904337 hasConceptScore W84904337C122041747 @default.
- W84904337 hasConceptScore W84904337C134306372 @default.
- W84904337 hasConceptScore W84904337C199360897 @default.
- W84904337 hasConceptScore W84904337C33923547 @default.
- W84904337 hasConceptScore W84904337C34388435 @default.
- W84904337 hasConceptScore W84904337C41008148 @default.
- W84904337 hasConceptScore W84904337C42812 @default.
- W84904337 hasConceptScore W84904337C97137487 @default.
- W84904337 hasLocation W849043371 @default.
- W84904337 hasOpenAccess W84904337 @default.
- W84904337 hasPrimaryLocation W849043371 @default.
- W84904337 hasRelatedWork W1971493697 @default.
- W84904337 hasRelatedWork W1976233953 @default.
- W84904337 hasRelatedWork W2037794165 @default.
- W84904337 hasRelatedWork W2039525635 @default.
- W84904337 hasRelatedWork W2043729466 @default.
- W84904337 hasRelatedWork W2076819665 @default.
- W84904337 hasRelatedWork W2098109211 @default.
- W84904337 hasRelatedWork W2165715344 @default.
- W84904337 hasRelatedWork W2250147633 @default.
- W84904337 hasRelatedWork W2299401760 @default.
- W84904337 hasRelatedWork W2375046512 @default.
- W84904337 hasRelatedWork W2475118240 @default.
- W84904337 hasRelatedWork W2564261685 @default.
- W84904337 hasRelatedWork W2950342865 @default.
- W84904337 hasRelatedWork W2952383013 @default.
- W84904337 hasRelatedWork W2962983803 @default.
- W84904337 hasRelatedWork W2963984616 @default.
- W84904337 hasRelatedWork W3138848483 @default.
- W84904337 hasRelatedWork W3163684317 @default.
- W84904337 hasRelatedWork W3193370376 @default.
- W84904337 isParatext "false" @default.
- W84904337 isRetracted "false" @default.
- W84904337 magId "84904337" @default.
- W84904337 workType "book-chapter" @default.