Open 3-manifolds as 3-fold branched coverings.
| dc.contributor.author | Montesinos Amilibia, José María | |
| dc.date.accessioned | 2023-06-20T18:47:55Z | |
| dc.date.available | 2023-06-20T18:47:55Z | |
| dc.date.issued | 2001 | |
| dc.description.abstract | It is announced that the Freudenthal compactification of an open, connected, oriented 3-manifold is a 3-fold branched covering of S 3 . The branching set is as nice as can be expected. Some applications are given. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/22240 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.officialurl | http://www.rac.es/ficheros/doc/00061.pdf | |
| dc.identifier.relatedurl | http://www.rac.es/0/0_1.php | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58648 | |
| dc.issue.number | 2 | |
| dc.journal.title | Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A: Matemáticas | |
| dc.language.iso | eng | |
| dc.page.final | 280 | |
| dc.page.initial | 279 | |
| dc.publisher | Real Academia Ciencias Exactas Físicas Y Naturales | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Freudenthal compactification | |
| dc.subject.keyword | Open 3-manifolds | |
| dc.subject.keyword | branched coverings | |
| dc.subject.keyword | wild knot | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Open 3-manifolds as 3-fold branched coverings. | |
| dc.type | journal article | |
| dc.volume.number | 95 | |
| dcterms.references | Bing, R. H. (1952). A homeomorphism between the 3-sphere and the sum of two solid horned spheres. Ann. of Math. (2) 56. 354–-362. Brown,E.M.,Tucker,T.W.(1974).On proper homotopy theory for noncompact 3-manifolds. Trans.Amer.Math. Soc. 188, 105–-126. Fox,R.H.(1957).Covering spaceswith singularities.Asymposium in honor of S. Lefschetz,PrincetonUniversity Press, Princeton, N.J., 243-–257. Fox, R. H.(1972). A note on branched cyclic covering of spheres. Rev. Mat. Hisp.-Amer.(4) 32, 158–-166. Freudenthal, H.(1945). Uber ¨ die Enden diskreter Raume ¨ und Gruppen. Comment. Math. Helv. 17, 1-–38. Hilden, H. M. (1974). Every closed orientable 3-manifold is a 2-fold branched covering space of S☎ . Bull. Amer. Math. Soc. 80, 1243-–1244. Hilden, H. M. (1976). Three-fold branched coverings of S☎ . Amer. J. Math. 98, no. 4, 989–-997. Hoste, J.(1957). Framed link diagrams of open 3- manifolds.InKNOTS '96 (Tokyo), World Sci. Publishing,River Edge, NJ, 515-–537. Kuperberg, G.(1996). A volume-preserving counterexample to the Seifert conjecture. Comment. Math. Helv. 71, no. 1, 70–-97. Moise, E.E.(1952). Afne structures in 3-manifolds. V.The triangulation theorem and Hauptvermutung. Ann. of Math. (2) 56, 96-–114. Moise,E.E.(1977).Geometric topology in dimensions 2 and 3.GraduateTextsinMathematics,Vol. 47.Springer-Verlag, New York. Montesinos, J. M. (1974). A representation of closed orientable 3-manifolds as 3-fold branched coverings of S☎ . Bull. Amer. Math. Soc. 80, 845–846. Montesinos, J. M. (1976). Three-manifolds as 3-fold branched covers of S☎ . Quart. J. Math. Oxford Ser. (2) 27, no. 105, 85–-94. Montgomery, D., Zippin, L.(1954). Examples of transformation groups. Proc. Amer. Math. Soc. 5, 460–-465. Smith, A. (1939). Transformations of nite period: II, Ann. of Math. (2) 40, 690-–711 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 7097502e-a5b0-4b03-b547-bc67cda16ae2 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7097502e-a5b0-4b03-b547-bc67cda16ae2 |
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