@article{CTGDC_1998__39_3_221_0, author = {Cristofori, Paola}, title = {Heegard and regular genus agree for compact $3$-manifolds}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, volume = {39}, year = {1998}, pages = {221-235}, mrnumber = {1641854}, zbl = {0914.57010}, language = {en}, url = {http://dml.mathdoc.fr/item/CTGDC_1998__39_3_221_0} }
Cristofori, Paola. Heegard and regular genus agree for compact $3$-manifolds. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 39 (1998) pp. 221-235. http://gdmltest.u-ga.fr/item/CTGDC_1998__39_3_221_0/
[1] A note on the genus of 3-manifolds with boundary, Ann. Univ. Ferrara - Sez. VII - Sc. Mat. XXXV (1989), 163-175 | MR 1079586 | Zbl 0713.57013
,[2] Constructing n-manifolds from spines, to appear | MR 1649950 | Zbl 0912.57014
,[3] An infinite class of bounded 4-manifolds having regular genus three, Boll. Un. Mat. Ital. (7) 10-A (1996), 279-303. | MR 1405245 | Zbl 0867.57014
,[4] Classifying PL 5-manifolds by regular genus: the boundary case, Can. J. Math. 49 (2) (1997), 193-211. | MR 1447488 | Zbl 0880.57008
,[5] Heegaard and regular genus of 3-manifolds with boundary, Revista Mat. Universidad Complutense Madrid 8 (2) (1995), 379-398. | MR 1367937 | Zbl 0869.57026
- - ,[6] A graph-theoretical representation of PL-manifolds - A survey on crystallizations, Aequationes Math. 31 (1986), 121-141. | MR 867510 | Zbl 0623.57012
- - ,[7] A combinatorial characterization of 3-manifolds crystallisations, Boll. Un. Mat. Ital. 16-A (1979), 441-449. | MR 551367 | Zbl 0414.57004
,[8] Regular imbeddings of edge-coloured graphs, Geom. Dedicata 11 (1981), 397-414. | MR 637916 | Zbl 0485.05026
,[9] Extending the concept of genus to dimension n, Proc. Amer. Math. Soc. 81 (1981), 473-481. | MR 597666 | Zbl 0467.57004
[10] Regular genus: the boundary case, Geom. Dedicata 22 (1987), 261-281. | MR 887578 | Zbl 0618.57009
[11] The only genus zero n-manifold is Sn, Proc. Amer. Math. Soc. 85 (1982), 638-642. | MR 660620 | Zbl 0522.57021
[12] Forstudier til topologisk teori för de algebraiske Sammenhäeng, Nordiske Forlag Ernst Bojesen, Copenhagen (1898); french translation: Bull. Soc. Math. France 44 (1916), 161-212.
,[13] An introduction to algebraic topology - Homology theory, Cambridge Univ. Press (1960). | MR 115161 | Zbl 0091.36306
- ,[14] Representing 3-manifolds by a universal branching set, Math. Proc. Camb. Phil. Soc. 94 (1983), 109-123. | MR 704805 | Zbl 0535.57007
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