12,489 research outputs found
Equivariant Moore spaces and the Dade group
Let be a finite -group and be a field of characteristic . A
topological space is called an -Moore space if its reduced homology is
nonzero only in dimension . We call a -CW-complex an
-Moore -space over if for every subgroup of , the
fixed point set is an -Moore space with coefficients in
, where is a function of . We show that if is a
finite -Moore -space, then the reduced homology module of
is an endo-permutation -module generated by relative syzygies. A
-module is an endo-permutation module if is a permutation -module. We consider the Grothendieck group of
finite Moore -spaces , with addition given by the join
operation, and relate this group to the Dade group generated by relative
syzygies.Comment: 22 page
Existence of Equilibrium in Incomplete Markets with Non-Ordered Preferences
In this paper we extend the results of recent studies on the existence of equilibrium in finite dimensional asset markets for both bounded and unbounded economies. We do not assume that the individual's preferences are complete or transitive. Our existence theorems for asset markets allow for short selling. We shall also show that the equilibrium achieves a constrained core within the same framework.Equilibrium Existence, Incomplete Preferences, Incomplete Markets, Constrained Core
Linear colorings of simplicial complexes and collapsing
A vertex coloring of a simplicial complex is called a linear
coloring if it satisfies the property that for every pair of facets of , there exists no pair of vertices with the same
color such that and . We
show that every simplicial complex which is linearly colored with
colors includes a subcomplex with vertices such that is
a strong deformation retract of . We also prove that this deformation
is a nonevasive reduction, in particular, a collapsing.Comment: 18 page
Constructing homologically trivial actions on products of spheres
We prove that if a finite group has a representation with fixity ,
then it acts freely and homologically trivially on a finite CW-complex homotopy
equivalent to a product of spheres. This shows, in particular, that every
finite group acts freely and homologically trivially on some finite CW-complex
homotopy equivalent to a product of spheres
Bockstein Closed 2-Group Extensions and Cohomology of Quadratic Maps
A central extension of the form , where and
are elementary abelian 2-groups, is called Bockstein closed if the
components q_i \in H^*(W, \FF_2) of the extension class of generate an
ideal which is closed under the Bockstein operator. In this paper, we study the
cohomology ring of when is a Bockstein closed 2-power exact extension.
The mod-2 cohomology ring of has a simple form and it is easy to calculate.
The main result of the paper is the calculation of the Bocksteins of the
generators of the mod-2 cohomology ring using an Eilenberg-Moore spectral
sequence. We also find an interpretation of the second page of the Bockstein
spectral sequence in terms of a new cohomology theory that we define for
Bockstein closed quadratic maps associated to the extensions
of the above form.Comment: 31 pages. To appear in Journal of Algebr
The proximity-concentration trade-off in a dynamic framework
This paper presents a dynamic framework which implements risk as a continuous variable into the proximity-concentration trade-of concept. Additionally firms have the possibility to postpone their investment decision which gives them the possibility to collect further information about the volatile variable over time. On the basis of the real option theory (Dixit and Pindyck, 1994) an investment plan under uncertainty is derived. In contrast to static models firms postpone their investment decision although positive returns can be achieved. For specific risk values the model predicts, in the presence of a foreign direct investment choice, the export strategy can be rejected although it is dominating the FDI project and although it is worthier than its option value. The results of the model undermine empirical findings which analyze the impact of continuous variables on export and FDI patterns. --export,FDI,uncertainty,real option approach
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