A Taste of Topology

• Κύριος συγγραφέας: Runde, Volker (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Axler, S. (Επιμελητής έκδοσης), Ribet, K.A (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2005.
• Σειρά: Universitext
• Θέματα: Mathematics.; Topology.; Algebraic topology.; Algebraic Topology.

If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language. The present book g...

Πίνακας περιεχομένων:

• Preface
• Introduction
• Set Theory
• Metric Spaces
• Set Theoretic Topology
• Systems of Continuous Functions
• Basic Algebraic Topology
• The Classical Mittag-Leffler Theorem Derived from Bourbaki’s
• Failure of the Heine-Borel Theorem in Infinite-Dimensional Spaces
• The Arzela-Ascoli Theorem
• References
• List of Symbols
• Index.