Topology for Analysis (eBook)

Albert Wilansky (Autor)

eBook Download: EPUB

2013
400 Seiten
Dover Publications (Verlag)
978-0-486-15075-8 (ISBN)

Infos

Three levels of examples and problems make this volume appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important topological concepts. 1970 edition.

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Appropriate for both students and professionals, this volume starts with the first principles of topology and advances to general analysis. Three levels of examples and problems, ordered and numbered by degree of difficulty, illustrate important concepts. A 40-page appendix, featuring tables of theorems and counter examples, provides a valuable reference.From explorations of topological space, convergence, and separation axioms, the text proceeds to considerations of sup and weak topologies, products and quotients, compactness and compactification, and complete semimetric space. The concluding chapters explore metrization, topological groups, and function spaces. Each subject area is supplemented with examples, problems, and exercises that progress to increasingly rigorous levels. All examples and problems are classified as essential, optional, and advanced.

Inhalt

IntroductionTopological SpaceConvergenceSeparation AxiomsTopological ConceptsSup, Weak, Product, and Quotient TopologiesCompactnessCompactificationComplete Semimetric SpaceMetrizationUniformityTopological GroupsFunction SpacesMiscellaneous TopicsAppendix, Tables of Theorems and CounterexamplesBibliographyIndex

Produkt-Details

• Erscheint lt. Verlag: 18.1.2013
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 160 x 160 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 0-486-15075-5 / 0486150755
• ISBN-13: 978-0-486-15075-8 / 9780486150758