Bezhanshivili - Lattices and Topology (Lecture Presentation).pdf - Topologia i Geometria - renvox

Lattices and Topology

Guram Bezhanishvili and Mamuka Jibladze

ESSLLI’08

11-15.VIII.2008

Lecture 1: Basics of lattice theory

Introduction

Lattice Theory is a relatively new branch of mathematics, which

lies on the interface of algebra and logic.

Introduction

Lattice Theory is a relatively new branch of mathematics, which

lies on the interface of algebra and logic.

The origins of lattice theory can be traced back to George Boole

(1815 – 1864) (“An Investigation of the Laws of Thought...”,

1854).

Introduction

Lattice Theory is a relatively new branch of mathematics, which

lies on the interface of algebra and logic.

The origins of lattice theory can be traced back to George Boole

(1815 – 1864) (“An Investigation of the Laws of Thought...”,

1854).

Richard Dedekind (1831 - 1916), in a series of papers around

1900, laid foundation of lattice theory.

Introduction

Lattice Theory is a relatively new branch of mathematics, which

lies on the interface of algebra and logic.

The origins of lattice theory can be traced back to George Boole

(1815 – 1864) (“An Investigation of the Laws of Thought...”,

1854).

Richard Dedekind (1831 - 1916), in a series of papers around

1900, laid foundation of lattice theory.

But it wasn’t until the 1930ies and 1940ies that lattice theory

became an independent branch of mathematics with its own

internal problematics, thanks to the work of such

mathematicians as Garett Birkhoff (1911 – 1996), Marshall

Stone (1903 - 1989) , Alfred Tarski (1902 - 1983), and Robert

Dilworth (1914 - 1993).

Bezhanshivili - Lattices and Topology (Lecture Presentation).pdf