E-Book, Englisch, 630 Seiten, eBook
Reihe: Universitext
MacLane / Moerdijk Sheaves in Geometry and Logic
1992
ISBN: 978-1-4612-0927-0
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
A First Introduction to Topos Theory
E-Book, Englisch, 630 Seiten, eBook
Reihe: Universitext
ISBN: 978-1-4612-0927-0
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds. Sheaves also appear in logic as carriers for models of set theory. This text presents topos theory as it has developed from the study of sheaves. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Preface; Prologue; Categorical Preliminaries; 1. Categories of Functors; 2. Sheaves of Sets; 3. Grothendieck Topologies and Sheaves; 4. First Properties of Elementary Topoi; 5. Basic Constructions of Topoi; 6. Topoi and Logic; 7. Geometric Morphisms; 8. Classifying Topoi; 9. Localic Topoi; 10. Geometric Logic and Classifying Topoi; Appendix: Sites for Topoi; Epilogue; Bibliography; Index of Notations; Index
