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  Volume 5(2), 2003

Algebraic Topological Methods
in Computer Science

 

Proceedings of a Workshop

Held at Stanford University,

July 30 - August 3, 2001

 

 

Edited by Gunnar Carlsson


Table of Contents

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Introduction

Gunnar Carlsson, Rick Jardine, vi

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1. Dicovering spaces

Lisbeth Fajstrup, 1-17

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2. Computing Linking Numbers of a Filtration

Herbert Edelsbrunner and Afra Zomorodian, 19-37

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3. Topological Deformation of Higher Dimensional Automata

Philippe Gaucher and Eric Goubault, 39-82

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4. Computation of Cohomology Operations on Finite Simplicial Complexes

R. Gonzalez-Diaz and P. Real, 83-93

abstract | dvi | dvi.gz | ps | ps.gz | pdf

5. Some Geometric Perspectives in Concurrency Theory

Eric Goubault, 95-136

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6. On the Geometry of Intuitionistic S4 Proofs

Jean Goubault-Larrecq and Eric Goubault, 137-209

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7. Ordinary and directed combinatorial homotopy, applied to image analysis and concurrency

Marco Grandis, 211-231

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8. Computing Homology

Tomasz Kaczynski, Konstantin Mischaikow and Marian Mrozek, 233-256

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9. State spaces and dipaths up to dihomotopy

Martin Raussen, 257-280

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