Open AccessOn the number of connected and disconnected coverings over a manifold
Author(s) -
Valery A. Liskovets,
Alexander Mednykh
Publication year - 2009
Publication title -
ars mathematica contemporanea
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.673
H-Index - 18
eISSN - 1855-3966
pISSN - 1855-3974
DOI - 10.26493/1855-3974.98.ecc
Subject(s) - mathematics , totally disconnected space , manifold (fluid mechanics) , combinatorics , 3 manifold , pure mathematics , locally compact space , mechanical engineering , engineering
A general formula is obtained for the number of non-equivalent coverings (possibly disconnected) over a connected manifold with an arbitrary finitely generated fundamental group. Some illustrative examples are considered.
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