Mathematics – Algebraic Topology
Scientific paper
2009-12-04
Tbilisi Mathematical Journal, Vol-4, 2011
Mathematics
Algebraic Topology
19 pages, 2 figures, many changes to the previous version. Comments and suggestions are welcome
Scientific paper
We introduce some compact orbifolds on which there is a certain finite group
action having a simple convex polytope as the orbit space. We compute the
orbifold fundamental group and homology groups of these orbifolds. We calculate
the cohomology rings of these orbifolds when the dimension of the orbifold is
even. These orbifolds are intimately related to the notion of small cover.
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