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General topology : chapters 1-4 / Nicolas Bourbaki

By: Material type: TextTextLanguage: 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
Item type Current library Call number Status Barcode
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