Synthetic Differential Topology (London Mathematical Society Lecture Note Series 448)

Synthetic Differential Topology (London Mathematical Society Lecture Note Series 448)

By: Marta Bunge (author), Felipe Gago (author), Ana Maria San Luis (author)Paperback

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Description

Snowflakes, a series of eight readers for students of classes 1 to 8, is meant primarily to inculcate in children a love for reading as well as appropriate reading skills. Just as each individual snowflake is unique, the content of the series is unique in terms of its literary linguistic and pedagogical merit. The selections include a wide range of stories, poems, prose pieces, plays and excerpts which have been collated from both classic and contemporary sources. Care has been to taken to ensure that they expose students to diverse genres and socio-cultural contexts.

Contents

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.

Product Details

  • ISBN13: 9781108447232
  • Format: Paperback
  • ID: 9781108447232
  • ISBN10: 1108447236

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