RT Journal Article
T1 Corrigendum to “3-variétés qui ne sont pas des revêtements cycliques ramifiés sur S 3"
A1 Montesinos Amilibia, José María
AB Let M denote a p-fold, branched, cyclic, covering space of S3, and suppose that the three-dimensional Smith conjecture is true for p-periodic autohomeomorphisms of S3. J. S. Birman and H. M. Hilden have constructed an algorithm for deciding whether M is homeomorphic to S3 [Bull. Amer. Math. Soc. 79 (1973), 1006–1010]. Now every closed, orientable three-manifold is a three-fold covering space of S3 branched over a knot [Hilden, ibid. 80 (1974), 1243–1244], but, in the present paper, the author shows that, if Fg is a closed, orientable surface of genus g≥1, then Fg×S1 is not a p-fold, branched cyclic covering space of S3 for any p. As the author points out, this was previously known for p=2 [R. H. Fox, Mat. Hisp.-Amer. (4) 32 (1972), 158–166; the author, Bol. Soc. Mat. Mexicana (2) 18 (1973), 1–32].
PB American Mathematical Society
SN 0002-9939
YR 1975
FD 1975
LK https://hdl.handle.net/20.500.14352/64719
UL https://hdl.handle.net/20.500.14352/64719
LA fra
DS Docta Complutense
RD 8 abr 2025