Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Home
-
Ricerca Semplice
.
Ricerca Avanzata
.
Cerca Riviste
.
Raffina risultati ricerca
.
Preferenze
.
Search Menu
Ricerca Semplice
.
Ricerca Avanzata
.
Ricerca Nuovi Doc.
.
Cerca Riviste
.
Raffina risultati ricerca
.
Bottom Menu
Help
Italiano
.
Inglese
.
Tedesco
.
New Item Menu
Ricerca Nuovi Doc.
.
Elenco Novità
.
Legami
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
Search Simple
>
Ricerca Risultati
Catalogue Card Display
Catalogue Card Display
RAK
Title: Topological Spaces ([EBook]) : From Distance to Neighborhood/ by Gerard Buskes, Arnoud van Rooij. Dewey Class: 514 Author: Buskes, Gerard. Added Personal Name: Rooij, Arnoud C. M. van, 1936- author. Publication: New York, NY : Springer, 1997. Other name(s): SpringerLink (Online service) Physical Details: XI, 313 pages : online resource. Series: Undergraduate Texts in Mathematics,0172-6056 ISBN: 9781461206651 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) Summary Note: This book is a text, not a reference, on Point-set Topology. It addresses itself to the student who is proficient in Calculus and has some experience with mathematical rigor, acquired, e.g., via a course in Advanced Calculus or Linear Algebra. To most beginners, Topology offers a double challenge. In addition to the strangeness of concepts and techniques presented by any new subject, there is an abrupt rise of the level of abstraction. It is a bad idea to teach a student two things at the same moment. To mitigate the culture shock, we move from the special to the general, dividing the book into three parts: 1. The Line and the Plane 2. Metric Spaces 3. Topological Spaces. In this way, the student has ample time to get acquainted with new ideas while still on familiar territory. Only after that, the transition to a more abstract point of view takes place. Elementary Topology preeminently is a subject with an extensive array of technical terms indicating properties of topological spaces. In the main body of the text, we have purposely restricted our mathematical vocabulary as much as is reasonably possible. Such an enterprise is risky. Doubtlessly, many readers will find us too thrifty. To meet them halfway, in Chapter 18 we briefly introduce and discuss a number of topological properties, but even there we do not touch on paracompactness, complete normality, and extremal disconnectedness-just to mention three terms that are not really esoteric.: Contents note: I The Line And The Plane -- 1 What Topology Is About -- 2 Axioms for ? -- 3 Convergent Sequences and Continuity -- 4 Curves in the Plane -- II Metric Spaces -- 5 Metrics -- 6 Open and Closed Sets -- 7 Completeness -- 8 Uniform Convergence -- 9 Sequential Compactness -- 10 Convergent Nets -- 11 Transition to Topology -- III Topological Spaces -- 12 Topological Spaces -- 13 Compactness and the Hausdorff Property -- 14 Products and Quotients -- 15 The Hahn-Tietze-Tong-Urysohn Theorems -- 16 Connectedness -- IV Postscript -- 18 A Smorgasbord for Further Study -- 19 Countable Sets -- Literature -- Index of Symbols -- Index of Terms. ------------------------------ *** Non c'è alcun posseduto per questo Record *** -----------------------------------------------
Quick Search
Cerca per