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Preference aggregation theory without acyclicity: The core without majority dissatisfaction
Core Nakamura number kappa number simple games voting games maximal elements acyclic preferences limit ordinals
2011/9/29
Abstract: Acyclicity of individual preferences is a minimal assumption in social choice theory. We replace that assumption by the direct assumption that preferences have maximal elements on a fixed ag...
Let R be a noetherian commutative ring, and F : · · · → F2 → F1 → F0 → 0 a complex of flat R-modules. We prove that if (p) ⊗R F is acyclic for every p ∈ SpecR, then F is acyclic, and H0(F) is R...
Higher-dimensional normalisation strategies for acyclicity
Higher-dimensional normalisation strategies acyclicity
2010/11/9
We introduce acyclic track polygraphs, a notion of complete categorical cellular models for small categories: they are polygraphs containing generators, with additional invertible cells for relations ...
Twisted acyclicity of a circle and link signatures
Twisted acyclicity of a circle link signatures
2010/11/30
Homology of the circle with non-trivial local coefficients is trivial.From this well-known fact we deduce geometric corollaries concerning links of codimension two. In particular, the Murasugi-Tristra...