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P-NDOP and P-decompositions of aleph_epsilon saturated models of superstable theories
P-NDOP P-decompositions
2015/9/25
Given a complete, superstable theory, we distinguish a class P of
regular types, typically closed under automorphisms of C and non-
orthogonality. We define the notion of P-NDOP, which is a weakenin...
We characterize the stable theories T for which the saturated
models of T admit decompositions. In particular, we show that
countable, shallow, stable theories with NDOP have this property.
On Archimedean Decompositions of Linearly Ordered Fields
On Archimedean Decompositions Linearly Ordered Fields
2010/11/22
In 1907, Hans Hahn proved the remarkable fact that any ordered group can be embedded in an ordered real function space. This set the stage for work on ordered groups and fields, and this area receive...
Decompositions of looped co-H-spaces and applications
Decompositions of looped co-H-spaces and applications
2010/11/11
We prove two homotopy decomposition theorems for the loops on co-H-spaces, including a generalization of the Hilton-Milnor Theorem. These are applied to problems arising in algebra, representation the...
Our goal is to show, in two different contexts, that "random" surfaces have large pants decompositions. First we show that there are hyperbolic surfaces of genus $g$ for which any pants decomposition...
Partial open book decompositions and the contact class in sutured floer homology
Partial open book decomposition contact three-manifold with convex boundary sutured manifold sutured Floer homology EH-contact class
2010/2/25
We demonstrate how to combinatorially calculate the EH-class of a compatible contact structure in the sutured Floer homology group of a balanced sutured three manifold which is associated to an abstra...