FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2022986340> ?p ?o ?g. }

• W2022986340 endingPage "265" @default.
• W2022986340 startingPage "257" @default.
• W2022986340 abstract "A continuum M is almost arcwise connected if each pair of nonempty open subsets of M can be joined by an arc in M . An almost arcwise connected plane continuum without a dense arc component can be defined by identifying pairs of endpoints of three copies of the Knaster indecomposable continuum that has two endpoints. In [7] K.R. Kellum gave this example and asked if every almost arcwise connected continuum without a dense arc component has uncountably many arc components. We answer Kellum's question by defining an almost arcwise connected plane continuum with only three arc components none of which are dense. A continuum M is almost Peano if for each finite collection C of nonempty open subsets of M there is a Peano continuum in M that intersects each element of C . We define a hereditarily unicoherent almost Peano plane continuum that does not have a dense arc component. We prove that every almost arcwise connected planar λ-dendroid has exactly one dense arc component. It follows that every hereditarily unicoherent almost arcwise connected plane continuum without a dense arc component has uncountably many arc components. Using an example of J. Krasinkiewicz and P Minc [8], we define an almost Peano λ-dendroid that do not have a dense arc component. Using a theorem of J.B. Fugate and L. Mohler [3], we prove that every almost arcwise connected λ-dendroid without a dense arc component has uncountably many arc components. In Euclidean 3-space we define an almost Peano continuum with only countably many arc components no one of which is dense. It is not known if the plane contains a continuum with these properties." @default.
• W2022986340 created "2016-06-24" @default.
• W2022986340 creator A5061903438 @default.
• W2022986340 date "1981-09-01" @default.
• W2022986340 modified "2023-09-23" @default.
• W2022986340 title "Almost arcwise connected continua without dense arc components" @default.
• W2022986340 cites W1497136978 @default.
• W2022986340 cites W1991164378 @default.
• W2022986340 cites W2012011170 @default.
• W2022986340 cites W2043892041 @default.
• W2022986340 cites W2069124937 @default.
• W2022986340 cites W2078078484 @default.
• W2022986340 cites W2323351681 @default.
• W2022986340 cites W837610905 @default.
• W2022986340 doi "https://doi.org/10.1016/0166-8641(81)90004-3" @default.
• W2022986340 hasPublicationYear "1981" @default.
• W2022986340 type Work @default.
• W2022986340 sameAs 2022986340 @default.
• W2022986340 citedByCount "4" @default.
• W2022986340 crossrefType "journal-article" @default.
• W2022986340 hasAuthorship W2022986340A5061903438 @default.
• W2022986340 hasConcept C110729354 @default.
• W2022986340 hasConcept C114614502 @default.
• W2022986340 hasConcept C118615104 @default.
• W2022986340 hasConcept C142399903 @default.
• W2022986340 hasConcept C147358099 @default.
• W2022986340 hasConcept C2524010 @default.
• W2022986340 hasConcept C33923547 @default.
• W2022986340 hasConcept C45340560 @default.
• W2022986340 hasConcept C70251129 @default.
• W2022986340 hasConcept C83415579 @default.
• W2022986340 hasConcept C97489613 @default.
• W2022986340 hasConceptScore W2022986340C110729354 @default.
• W2022986340 hasConceptScore W2022986340C114614502 @default.
• W2022986340 hasConceptScore W2022986340C118615104 @default.
• W2022986340 hasConceptScore W2022986340C142399903 @default.
• W2022986340 hasConceptScore W2022986340C147358099 @default.
• W2022986340 hasConceptScore W2022986340C2524010 @default.
• W2022986340 hasConceptScore W2022986340C33923547 @default.
• W2022986340 hasConceptScore W2022986340C45340560 @default.
• W2022986340 hasConceptScore W2022986340C70251129 @default.
• W2022986340 hasConceptScore W2022986340C83415579 @default.
• W2022986340 hasConceptScore W2022986340C97489613 @default.
• W2022986340 hasIssue "3" @default.
• W2022986340 hasLocation W20229863401 @default.
• W2022986340 hasOpenAccess W2022986340 @default.
• W2022986340 hasPrimaryLocation W20229863401 @default.
• W2022986340 hasRelatedWork W1652576638 @default.
• W2022986340 hasRelatedWork W2022986340 @default.
• W2022986340 hasRelatedWork W2031921240 @default.
• W2022986340 hasRelatedWork W2039220583 @default.
• W2022986340 hasRelatedWork W2063292662 @default.
• W2022986340 hasRelatedWork W2523443127 @default.
• W2022986340 hasRelatedWork W2952881250 @default.
• W2022986340 hasRelatedWork W3175084690 @default.
• W2022986340 hasRelatedWork W4200448177 @default.
• W2022986340 hasRelatedWork W4300792906 @default.
• W2022986340 hasVolume "12" @default.
• W2022986340 isParatext "false" @default.
• W2022986340 isRetracted "false" @default.
• W2022986340 magId "2022986340" @default.
• W2022986340 workType "article" @default.