Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950967079> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2950967079 abstract "We define the virtual bridge number $vb(K)$ and the virtual unknotting number $vu(K)$ invariants for virtual knots. For ordinary knots $K$ they are closely related to the bridge number $b(K)$ and the unknotting number $u(K)$ and we have $vu(K)leq u(K), vb(K)leq b(K).$ There are no ordinary knots $K$ with $b(K)=1.$ We show there are infinitely many homotopy classes of virtual knots each of which contains infinitely many isotopy classes of $K$ with $vb(K)=1.$ In fact for each $iin N$ there exists $K$ virtually homotopic (but not virtually isotopic) to the unknot with $vb(K)=1$ and $vu(K)=i.$" @default.
- W2950967079 created "2019-06-27" @default.
- W2950967079 creator A5001820777 @default.
- W2950967079 creator A5037890161 @default.
- W2950967079 date "2007-12-14" @default.
- W2950967079 modified "2023-09-25" @default.
- W2950967079 title "Virtual Bridge Number One Knots" @default.
- W2950967079 cites W113704055 @default.
- W2950967079 cites W2129538584 @default.
- W2950967079 cites W3038080296 @default.
- W2950967079 hasPublicationYear "2007" @default.
- W2950967079 type Work @default.
- W2950967079 sameAs 2950967079 @default.
- W2950967079 citedByCount "0" @default.
- W2950967079 crossrefType "posted-content" @default.
- W2950967079 hasAuthorship W2950967079A5001820777 @default.
- W2950967079 hasAuthorship W2950967079A5037890161 @default.
- W2950967079 hasConcept C100776233 @default.
- W2950967079 hasConcept C105702510 @default.
- W2950967079 hasConcept C114614502 @default.
- W2950967079 hasConcept C127413603 @default.
- W2950967079 hasConcept C202444582 @default.
- W2950967079 hasConcept C2778876713 @default.
- W2950967079 hasConcept C2779863119 @default.
- W2950967079 hasConcept C2780286412 @default.
- W2950967079 hasConcept C33923547 @default.
- W2950967079 hasConcept C42360764 @default.
- W2950967079 hasConcept C5961521 @default.
- W2950967079 hasConcept C86803240 @default.
- W2950967079 hasConceptScore W2950967079C100776233 @default.
- W2950967079 hasConceptScore W2950967079C105702510 @default.
- W2950967079 hasConceptScore W2950967079C114614502 @default.
- W2950967079 hasConceptScore W2950967079C127413603 @default.
- W2950967079 hasConceptScore W2950967079C202444582 @default.
- W2950967079 hasConceptScore W2950967079C2778876713 @default.
- W2950967079 hasConceptScore W2950967079C2779863119 @default.
- W2950967079 hasConceptScore W2950967079C2780286412 @default.
- W2950967079 hasConceptScore W2950967079C33923547 @default.
- W2950967079 hasConceptScore W2950967079C42360764 @default.
- W2950967079 hasConceptScore W2950967079C5961521 @default.
- W2950967079 hasConceptScore W2950967079C86803240 @default.
- W2950967079 hasLocation W29509670791 @default.
- W2950967079 hasOpenAccess W2950967079 @default.
- W2950967079 hasPrimaryLocation W29509670791 @default.
- W2950967079 hasRelatedWork W1554965154 @default.
- W2950967079 hasRelatedWork W1964992073 @default.
- W2950967079 hasRelatedWork W1966621118 @default.
- W2950967079 hasRelatedWork W1994261749 @default.
- W2950967079 hasRelatedWork W2008528838 @default.
- W2950967079 hasRelatedWork W2041294106 @default.
- W2950967079 hasRelatedWork W2050163969 @default.
- W2950967079 hasRelatedWork W2057923619 @default.
- W2950967079 hasRelatedWork W2114377817 @default.
- W2950967079 hasRelatedWork W2152175040 @default.
- W2950967079 hasRelatedWork W2158064727 @default.
- W2950967079 hasRelatedWork W2619796349 @default.
- W2950967079 hasRelatedWork W2949958600 @default.
- W2950967079 hasRelatedWork W2950821557 @default.
- W2950967079 hasRelatedWork W2951220587 @default.
- W2950967079 hasRelatedWork W2952114490 @default.
- W2950967079 hasRelatedWork W3092510900 @default.
- W2950967079 hasRelatedWork W3101995076 @default.
- W2950967079 hasRelatedWork W3118706579 @default.
- W2950967079 hasRelatedWork W3134684724 @default.
- W2950967079 isParatext "false" @default.
- W2950967079 isRetracted "false" @default.
- W2950967079 magId "2950967079" @default.
- W2950967079 workType "article" @default.