A Unified Approach to Algebraic Set Theory Benno van den Berg ∗ Ieke Moerdijk†

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SHORT EXTENDER FORCING MOTI GITIK AND SPENCER UNGER 1. Introduction These notes are based on a lecture given by Moti Gitik at the Appalachian Set Theory workshop on April 3, 2010. Spencer Unger was the official note-take

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Page 1 Chapter 1 Probabilities and random variables Probability theory is a systematic method for describing randomness and uncertainty. It prescribes a set of rules for manipulating and calculating probabilities and ex

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Comparison Semigroups and Function Algebra Tim Stokes The theory of relation algebras was Tarski’s attempt to model the algebra of binary relations on a set X – subsets of X × X. Many operations are defined: • re

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SET MAPPING REFLECTION Appalachian Set Theory Workshop, May 31, 2008 Lectures by Justin Tatch Moore Notes taken by David Milovich 1. Introduction

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Aspects of Predicative Algebraic Set Theory III: Sheaves Benno van den Berg∗ & Ieke Moerdijk† September 29, 2011 Abstract

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Local Constructive Set Theory Oberwolfach, April, 2008 Peter Aczel Manchester University

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ITERATED FORCING AND THE CONTINUUM HYPOTHESIS Appalachian Set Theory Workshop, May 29–30, 2009 Lectures by Todd Eisworth and Justin Tatch Moore Notes taken by David Milovich Remark. The notes which follow reflect the

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SET THEORY AND VON NEUMANN ALGEBRAS ¨ ASGER TORNQUIST AND MARTINO LUPINI Introduction

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The Synthetic Plotkin Powerdomain Wesley Phoa Paul Taylor 1990

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• Lattice theory
• Algebraic structures
• Power domains
• Semilattice
• Free lattice
• Topos
• Model theory
• Finite set
• FO
• Mathematics
• Abstract algebra
• Algebra