Synthetic Differential Topology

Erscheinungsjahr 2018
ISBN: 978-1-108-44723-2
Verlag: Cambridge University Press

Buch, Englisch, Band 448, 234 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 346 g

Reihe: London Mathematical Society Lecture Note Series

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Autoren/Hrsg.

Bunge, Marta

Gago, Felipe

San Luis, Ana María

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Inhaltsverzeichnis

Introduction; Part I. Toposes and Differential Geometry: 1. Topos theory; 2. Synthetic differential geometry; Part II. Topics in SDG: 3. The Ambrose–Palais–Singer theorem in SDG; 4. Calculus of variations in SDG; Part III. Toposes and Differential Topology: 5. Local concepts in SDG; 6. Synthetic differential topology; Part IV. Topics in SDT: 7. Stable mappings and Mather's theorem in SDT; 8. Morse theory in SDT; Part V. SDT and Differential Topology: 9. Well-adapted models of SDT; 10. An application to unfoldings; Part VI. A Well-Adapted Model of SDT: 11. The Dubuc topos G; 12. G as a model of SDT; References; Index.

Über Autor(innen)

Gago, Felipe
Felipe Gago is Professor of Mathematics at the University of Santiago de Compostela, Spain.

San Luis, Ana María
Ana María San Luis is Professor of Mathematics at the University of Oviedo, Spain.

Bunge, Marta
Marta Bunge is Professor Emerita of Mathematics at McGill University, Montreal. She is the author (with Professor Jonathon Funk) of the book Singular Coverings of Toposes (2010). Bunge is also a member of the editorial boards of the Cahiers de Topologie et Geometrie Differentielle Categoriques and of the Tbilisi Mathematical Journal.