24 research outputs found
Equivariant cohomology and analytic descriptions of ring isomorphisms
In this paper we consider a class of connected closed -manifolds with a
non-empty finite fixed point set, each of which is totally non-homologous
to zero in (or -equivariantly formal), where . With the
help of the equivariant index, we give an explicit description of the
equivariant cohomology of such a -manifold in terms of algebra, so that we
can obtain analytic descriptions of ring isomorphisms among equivariant
cohomology rings of such -manifolds, and a necessary and sufficient
condition that the equivariant cohomology rings of such two -manifolds are
isomorphic. This also leads us to analyze how many there are equivariant
cohomology rings up to isomorphism for such -manifolds in 2- and
3-dimensional cases.Comment: 20 pages, updated version with two references adde
A topological approach to multiattribute decision
We examine the problem of establishing a preference relation when consumers obtain, as result of the measurement process, non-homogeneous values (quantitative and qualitative) that make difficult to construct a global assessment. We suggest that it is possible to treat the multiattribute decision process from topology: firstly establishing the phases of representational measurement process and the conditions in which measurement exists, and secondly determining the preference relation and the conditions to set it up