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General topology : chapters 1-4 / Nicolas Bourbaki

By: Material type: TextLanguage: English Original language: French Series: Bourbaki, Nicolas. Elements of mathematics ; Publication details: Berlin : Springer, 1990Description: vii, 436 sISBN:
  • 3-540-64241-2 (kart.) ;
  • 3-540-19374-X
  • 0-387-19374-X
Uniform titles:
  • Topologie général English
Subject(s): DDC classification:
  • 514 22
Incomplete contents:
I. Topological Structures -- 1. Open sets, neighbourhoods, closed sets -- 2. Continuous functions -- 3. Subspaces, quotient spaces -- 4. Product of topological spaces -- 5. Open mappings and closed mappings -- 6. Filters -- 7. Limits -- 8. Hausdorff spaces and regular spaces -- 9. Compact spaces and locally compact spaces -- 10. Proper mappings -- 11. Connectedness -- II. Uniform Structures -- 1. Uniform spaces -- 2. Uniformly continuous functions -- 3. Complete spaces -- 4. Relations between uniform spaces and compact spaces -- III: Topological Groups -- 1. Topologies on groups -- 2. Subgroups, quotient groups, homomorphisms, homogeneous spaces, product groups -- 3. Uniform structures on groups -- 4. Groups operating properly on a topological space; compactness in topological groups and spaces with operators -- 5. Infinite sums in commutative groups -- 6. Topological groups with operators; topological rings, division rings and fields -- 7. Inverse limits of topological groups and rings -- IV: Real Numbers -- 1. Definition of real numbers -- 2. Fundamental topological properties of the real line -- 3. The field of real numbers -- 4. The extended real line -- 6. Continuous and semi-continuous real-valued functions -- 7. Infinite sums and products of real numbers -- 8. Usual expansions of real numbers; the power of R
Holdings
Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
Book Högskolan Väst Övre plan / Upper floor 514 Bourbaki Available 6004300013751
Total holds: 0

I. Topological Structures -- 1. Open sets, neighbourhoods, closed sets -- 2. Continuous functions -- 3. Subspaces, quotient spaces -- 4. Product of topological spaces -- 5. Open mappings and closed mappings -- 6. Filters -- 7. Limits -- 8. Hausdorff spaces and regular spaces -- 9. Compact spaces and locally compact spaces -- 10. Proper mappings -- 11. Connectedness -- II. Uniform Structures -- 1. Uniform spaces -- 2. Uniformly continuous functions -- 3. Complete spaces -- 4. Relations between uniform spaces and compact spaces -- III: Topological Groups -- 1. Topologies on groups -- 2. Subgroups, quotient groups, homomorphisms, homogeneous spaces, product groups -- 3. Uniform structures on groups -- 4. Groups operating properly on a topological space; compactness in topological groups and spaces with operators -- 5. Infinite sums in commutative groups -- 6. Topological groups with operators; topological rings, division rings and fields -- 7. Inverse limits of topological groups and rings -- IV: Real Numbers -- 1. Definition of real numbers -- 2. Fundamental topological properties of the real line -- 3. The field of real numbers -- 4. The extended real line -- 6. Continuous and semi-continuous real-valued functions -- 7. Infinite sums and products of real numbers -- 8. Usual expansions of real numbers; the power of R