Allgemeine Topologie
eBook - PDF

Allgemeine Topologie

  1. 144 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Allgemeine Topologie

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Yes, you can access Allgemeine Topologie by Wolfgang Franz in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2015
Print ISBN
9783111012421
eBook ISBN
9783111369440
Edition
3
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Literaturverzeichnis
  2. Einleitung
  3. I. Teil. Theorie der allgemeinen topologischen Bäume
  4. Kap. 1. Axiomatische Grundlegung
  5. § 1 Vorbereitung: Metrische Räume
  6. § 2 Topologische Räume
  7. § 3 Dualitätsprinzip
  8. § 4 U-, O- und K-Topologien
  9. Kap. 2. Ausbau der Theorie
  10. § 5 Abbildungen und Funktionen
  11. § 6 Spurtopologie
  12. § 7 Zusammenhang
  13. § 8 Zusammenhang im Rn
  14. § 9 Dichte
  15. Kap. 3. Beziehungen verschiedener Topologien zueinander
  16. § 10 Basen
  17. § 11 Grobe und feine Topologien
  18. § 12 Produkt- und Quotiententopologien
  19. II. Teil Spezielle Klassen von Bäumen
  20. Kap. 4. Durch Trennungsaxiome definierte Räume
  21. § 13 Hausdorffsche Räume
  22. § 14 Reguläre Räume
  23. § 15 Normale Räume
  24. Kap. 5. Durch Überdeckungseigenschaften definierte Räume: Kompakte Räume
  25. § 16 Kompaktheit
  26. § 17 Teilräume kompakter Räume
  27. § 18 Abbildungen kompakter Räume
  28. § 19 Lokalkompakte Räume. Kompaktifizierung
  29. III. Teil Metrische Räume
  30. Kap. 6. Theorie des metrischen Raumes
  31. § 20 Abstand von Punkten und Mengen
  32. § 21 Grenzwerte, Vollständigkeit
  33. § 22 Durchmesser, Beschränktheit
  34. Kap. 7. Kompakten
  35. § 23 Kennzeichnung der Kompakten
  36. § 24 Abstand, Überdeckungen, Zusammenhang
  37. § 25 Abbildungen von Kompakten
  38. Kap. 8. Metrisierung topologischer Räume
  39. § 26 Die Hauptsätze
  40. § 27 Notwendige Bedingungen
  41. § 28 Hinreichende Bedingungen
  42. IV. Teil. Anfänge der Dimensionstheorie
  43. Kap. 9. Polyeder
  44. § 29 Das Simplex
  45. § 30 Simplizialkomplexe und Polyeder
  46. § 31 Unterteilungen
  47. Kap. 10. Dimension von Kompakten
  48. § 32 Pflasterdimension
  49. § 33 Nulldimensionale Kompakten
  50. § 34 Pflastersatz
  51. § 35 Einbettungssatz
  52. Grundformeln aus der Mengenlehre
  53. Index