DP-MINIMALITY: INVARIANT TYPES AND DP-RANK

On dp-minimality, strong dependence and weight

Additivity of the Dp-rank

The main result is the prove of the linearity of the dp-rank. We also prove that the study of theories of finite dp-rank cannot be reduced to the study of its dp-minimal types and discuss the possible relations between dp-rank and VC-density.

On Dp-Dp+4 systems, QCD dual and phenomenology

D4-D8 and D3-D7 systems are studied and a possible holographic dual of large N QCD (SU(N) gauge fields and fundamental quarks) is sought. A candidate system is found, for which however no explicit solution is available. Susy is broken by having a D7 − D̄7 condensing to a D5. The mechanism for supersymmetry breaking is then used to try to construct a Standard Model embedding. One can either obtai...

On a common generalization of Shelah's 2-rank, dp-rank, and o-minimal dimension

In this paper, we build a dimension theory related to Shelah's 2-rank, dp-rank, and o-minimal dimension. We call this dimension op-dimension. We exhibit the notion of the n-multiorder property, generalizing the order property, and use this to create op-rank, which generalizes 2-rank. From this we build opdimension. We show that op-dimension bounds dp-rank, that opdimension is sub-additive, and ...

Redesigning Tcl-DP

Tcl-DP is a loadable module for Tcl that adds advanced communication features to Tcl/Tk. Tcl-DP supports communication by serial links, IP-multicast, TCP, UDP, and email, contains a remote procedure call (RPC) mechanism, and supports the design of new protocols using modules called filters. Tcl-DP 1.0 [Smi93] was released four years ago and has since been used for numerous commercial and academ...