Zobacz książki o podobnej tematyce

Więcej informacji o General Topology I

• Dane szczegółowe
• Opis
• Ulubione w innej kategorii

Za ten zakup dostaniesz 166 punkty

Opis

General topology is the domain ofmathematics devoted to the investigation of the concepts of continuity and passage to a limit at their natural level of generality. The most basic concepts of general topology, that of a topological space and a continuous map, were introduced by Hausdorffin 1914. Oneofthecentralproblemsoftopologyisthedeterminationandinvestigation of topological invariants; that is, properties ofspaces which are preserved under homeomorphisms. Topological invariants need not be numbers. Connectedness, compactness, andmetrizability,forexample,arenon-numericaltopologicalinvariants.Dimen sional invariants, on the otherhand, areexamplesofnumericalinvariants which take integervalues on specific topological spaces. Part II ofthis book is devoted to them. Topological invariants which take values in the cardinal numbers play an especially important role, providing the raw material for many useful coin" putations. Weight, density, character, and Suslin number are invariants ofthis type. Certain classes of topological spaces are defined in terms of topological in variants. Particularly important examples include the metrizable spaces, spaces with a countable base, compact spaces, Tikhonov spaces, Polish spaces, Cech complete spaces and the symmetrizable spaces.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Calculus & mathematical analysis

• Pełny tytuł: General Topology I
• Podtytuł: Basic Concepts and Constructions Dimension Theory
• Autor: A. V. Arkhangel'skii, L. S. Pontryagin, D. B. O'Shea
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 202
• EAN: 9783642647673
• ISBN: 3642647677
• ID: 06950759
• Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Waga: 335 g
• Wymiary: 235 × 155 × 12 mm
• Data wydania: 18. September 2011

Ulubione w innej kategorii

---

---

---