FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2008091340> ?p ?o ?g. }

• W2008091340 endingPage "315" @default.
• W2008091340 startingPage "315" @default.
• W2008091340 abstract "This paper concerns itself with the relationship between two seemingly different methods for representing a closed, orientable 3-manifold: on the one hand as a Heegaard splitting, and on the other hand as a branched covering of the 3-sphere. The ability to pass back and forth between these two representations will be applied in several different ways: 1. It will be established that there is an effective algorithm to decide whether a 3-manifold of Heegaard genus 2 is a 3-sphere. 2. We will show that the natural map from 6-plat representations of knots and links to genus 2 closed oriented 3-manifolds is injective and surjective. This relates the question of whether or not Heegaard splittings of closed, oriented 3-manifolds are “unique” to the question of whether plat representations of knots and links are “unique. 3. We will give a counterexample to a conjecture (unpublished) of W. Haken, which would have implied that ${S^3}$ could be identified (in the class of all simply-connected 3-manifolds) by the property that certain canonical presentations for ${pi _1}{S^3}$ are always “nice. The final section of the paper studies a special class of genus 2 Heegaard splittings: the 2-fold covers of ${S^3}$ which are branched over closed 3-braids. It is established that no counterexamples to the “genus 2 Poincaré conjecture” occur in this class of 3-manifolds." @default.
• W2008091340 created "2016-06-24" @default.
• W2008091340 creator A5018199234 @default.
• W2008091340 creator A5022958512 @default.
• W2008091340 date "1975-01-01" @default.
• W2008091340 modified "2023-10-18" @default.
• W2008091340 title "Heegaard splittings of branched coverings of $Ssp{3}$" @default.
• W2008091340 cites W1493869873 @default.
• W2008091340 cites W1510024482 @default.
• W2008091340 cites W1525312156 @default.
• W2008091340 cites W1600032894 @default.
• W2008091340 cites W1974231313 @default.
• W2008091340 cites W1982779282 @default.
• W2008091340 cites W1987969455 @default.
• W2008091340 cites W1988506278 @default.
• W2008091340 cites W1997771880 @default.
• W2008091340 cites W2006417873 @default.
• W2008091340 cites W2006624101 @default.
• W2008091340 cites W2023358218 @default.
• W2008091340 cites W2037128980 @default.
• W2008091340 cites W2041603746 @default.
• W2008091340 cites W2050091273 @default.
• W2008091340 cites W2052414950 @default.
• W2008091340 cites W2065412440 @default.
• W2008091340 cites W2069080757 @default.
• W2008091340 cites W2088135821 @default.
• W2008091340 cites W2097145367 @default.
• W2008091340 cites W2123642523 @default.
• W2008091340 cites W2318517541 @default.
• W2008091340 cites W2323707071 @default.
• W2008091340 cites W2325575424 @default.
• W2008091340 cites W2327745271 @default.
• W2008091340 cites W2334017186 @default.
• W2008091340 cites W2334232972 @default.
• W2008091340 cites W2530431830 @default.
• W2008091340 cites W2907521721 @default.
• W2008091340 cites W2913435941 @default.
• W2008091340 cites W39970394 @default.
• W2008091340 doi "https://doi.org/10.1090/s0002-9947-1975-0380765-8" @default.
• W2008091340 hasPublicationYear "1975" @default.
• W2008091340 type Work @default.
• W2008091340 sameAs 2008091340 @default.
• W2008091340 citedByCount "57" @default.
• W2008091340 countsByYear W20080913402012 @default.
• W2008091340 countsByYear W20080913402013 @default.
• W2008091340 countsByYear W20080913402014 @default.
• W2008091340 countsByYear W20080913402017 @default.
• W2008091340 countsByYear W20080913402018 @default.
• W2008091340 countsByYear W20080913402019 @default.
• W2008091340 crossrefType "journal-article" @default.
• W2008091340 hasAuthorship W2008091340A5018199234 @default.
• W2008091340 hasAuthorship W2008091340A5022958512 @default.
• W2008091340 hasBestOaLocation W20080913401 @default.
• W2008091340 hasConcept C111472728 @default.
• W2008091340 hasConcept C114614502 @default.
• W2008091340 hasConcept C119238805 @default.
• W2008091340 hasConcept C127413603 @default.
• W2008091340 hasConcept C128107574 @default.
• W2008091340 hasConcept C133776654 @default.
• W2008091340 hasConcept C138885662 @default.
• W2008091340 hasConcept C154945302 @default.
• W2008091340 hasConcept C157369684 @default.
• W2008091340 hasConcept C162838799 @default.
• W2008091340 hasConcept C189950617 @default.
• W2008091340 hasConcept C191403955 @default.
• W2008091340 hasConcept C202444582 @default.
• W2008091340 hasConcept C2777212361 @default.
• W2008091340 hasConcept C2780990831 @default.
• W2008091340 hasConcept C33923547 @default.
• W2008091340 hasConcept C41008148 @default.
• W2008091340 hasConcept C529865628 @default.
• W2008091340 hasConcept C59822182 @default.
• W2008091340 hasConcept C76956144 @default.
• W2008091340 hasConcept C78519656 @default.
• W2008091340 hasConcept C86803240 @default.
• W2008091340 hasConceptScore W2008091340C111472728 @default.
• W2008091340 hasConceptScore W2008091340C114614502 @default.
• W2008091340 hasConceptScore W2008091340C119238805 @default.
• W2008091340 hasConceptScore W2008091340C127413603 @default.
• W2008091340 hasConceptScore W2008091340C128107574 @default.
• W2008091340 hasConceptScore W2008091340C133776654 @default.
• W2008091340 hasConceptScore W2008091340C138885662 @default.
• W2008091340 hasConceptScore W2008091340C154945302 @default.
• W2008091340 hasConceptScore W2008091340C157369684 @default.
• W2008091340 hasConceptScore W2008091340C162838799 @default.
• W2008091340 hasConceptScore W2008091340C189950617 @default.
• W2008091340 hasConceptScore W2008091340C191403955 @default.
• W2008091340 hasConceptScore W2008091340C202444582 @default.
• W2008091340 hasConceptScore W2008091340C2777212361 @default.
• W2008091340 hasConceptScore W2008091340C2780990831 @default.
• W2008091340 hasConceptScore W2008091340C33923547 @default.
• W2008091340 hasConceptScore W2008091340C41008148 @default.
• W2008091340 hasConceptScore W2008091340C529865628 @default.
• W2008091340 hasConceptScore W2008091340C59822182 @default.
• W2008091340 hasConceptScore W2008091340C76956144 @default.
• W2008091340 hasConceptScore W2008091340C78519656 @default.
• W2008091340 hasConceptScore W2008091340C86803240 @default.
• W2008091340 hasLocation W20080913401 @default.

• next