G./Endriss, 2011: Automated theorem search (through a universal reduction step) for ranking sets of objects B./G./Seedig, 2014: Finding preference profiles for k-majority digraphs G., 2014: Finding preference profiles of given Condorcet dimension • In this paper Method: more evolved technique to also treat strategyproofness for irresolute social choice functions Results: e.g., efficiency and st...

In this note, we establish and improve some results on fixed point theory in topological vector spaces. As a generalization of contraction maps, the concept of quasi contraction multivalued maps on a topological vector space will be defined. Further, it is shown that a quasi contraction and closed multivalued map on a topological vector space has a unique fixed point if it is bounded value.

in this paper we construct the category of coverings of fundamental generalized lie group-groupoid associatedwith a connected generalized lie group. we show that this category is equivalent to the category of coverings of aconnected generalized lie group. in addition, we prove the category of coverings of generalized lie groupgroupoidand the category of actions of this generalized lie group-gro...

If we consider some special conditions, we can assume fundamental group of a topological space as a new topological space. In this paper, we will present a number of theorems in topological fundamental group related to semilocally simply connected property for a topological space.

We construct non-trivial quasi-quantum groups associated to any nite group G and any element of H 3 (G; U(1)). We analyze the set of representations of these algebras and show that we recover the data of particular 3-dimensional topological eld theories. We also give the R-matrix structure in non abelian RCFT orbifold models.

The homotopy type and homotopy groups of some spectra TAFGU of topological automorphic forms associated to a unitary similitude group GU of type (1, 1) are explicitly described in quasi-split cases. The spectrum TAFGU is shown to be closely related to the spectrum TMF in these cases, and homotopy groups of some of these spectra are explicitly computed.