RT Journal Article
T1 Branched coverings after Fox
A1 Montesinos Amilibia, José María
AB General branched coverings, folded coverings, and branched folded coverings are all special cases of the spreads introduced by R. H. Fox in the 1950's [in A symposium in honor of S. Lefschetz, 243–257, Princeton Univ. Press, Princeton, N.J., 1957;] to put the point set topology of these objects on a solid footing. This largely expository article revisits the subject, giving it a full treatment. Certain definitions are extended and several essentially new sufficient conditions for a map to be a spread are given. The concept of a singular covering is introduced, allowing a common treatment of branched coverings and branched folded coverings. One motivation for re-examining and extending the theory is for applications to possibly wild knots. In addition, the theory contains, for example, the end compactification of Freudenthal as a special case, which is given a complete treatment here. The paper opens with a useful, detailed historical survey putting all the work in the area in a common framework.
PB Sociedad Matemática Mexicana
SN 1405-213X
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/50754
UL https://hdl.handle.net/20.500.14352/50754
LA eng
DS Docta Complutense
RD 5 abr 2025