# Orthogonality and domination in unstable theories

## TL;DR

This paper explores the concepts of orthogonality, domination, and related types in rosy and super-rosy theories, aiming to extend these ideas to more general dependent theories.

## Contribution

It develops a framework for understanding orthogonality and domination in dependent theories, building on existing theories in rosy and super-rosy contexts.

## Key findings

- Analyzed orthogonality and domination in rosy theories
- Extended concepts to arbitrary dependent theories
- Provided new insights into type structures in model theory

## Abstract

In the first part of the paper we study orthogonality, domination, weight, regular and minimal types in the contexts of rosy and super-rosy theories. Then we try to develop analogous theory for arbitrary dependent theories.