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Undergraduate Topology : a Working Textbook.
This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general topology, point-set topology or analytic topology with a particular focus on helping students to build theory for themselves. It is the result of several years of the authors' co...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford University Press, USA,
2014.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Preface; Contents; Comments to the instructor: what types of study this book will support; Comments to the student reader: how to use this book; 1 Introduction; Preamble; Sets and mappings; Zorn's lemma; The least uncountable ordinal; Metric spaces; Expansion of Chapter 1; 2 Topological spaces; Some elementary concepts; Subspaces; Expansion of Chapter 2; 3 Continuity and convergence; Continuity; Convergent sequences; Nets; Filters; Expansion of Chapter 3; 4 Invariants; Sequential compactness; Compactness; Local compactness; Connectedness; Separability; Expansion of Chapter 4.
- 5 Base and productBase; Complete separability; Product spaces; Product theorems; Infinite products; Expansion of Chapter 5; 6 Separation axioms; T1 spaces; T2 spaces; T3 spaces; T3 1/2 spaces; T4 spaces; Expansion of Chapter 6; Essential Exercises; Solutions to selected exercises; Suggestions for further reading; Index.