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Topological Analysis

Gordon Thomas Whyburn

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

Topological analysis consists of those basic theorems of analysis which are essentially topological in character, developed and proved entirely by topological and pseudotopological methods. The objective of this volume is the promotion, encouragement, and stimulation of the interaction between topology and analysis-to the benefit of both.

Originally published in 1964.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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Schlagwörter

Convex set, Closed set, Exterior (topology), Rectangle, Orientability, Big O notation, Triangle inequality, Hurwitz's theorem (number theory), Topological space, Boundary (topology), Existential quantification, Dense set, Mean value theorem, Admissible representation, Cartesian coordinate system, Connected space, Identity element, Identity function, Linear map, Countable set, Intersection (set theory), Diameter, Logarithm, Complete metric space, Bijection, Uniform continuity, Jordan curve theorem, Homeomorphism, Complex plane, Theorem, Monotonic function, Open set, Bounded set (topological vector space), Division by zero, Homotopy, Metric space, Cartesian product, Compact space, Sign (mathematics), Continuous function, Sequence, Arbitrarily large, Empty set, Euler characteristic, Limit superior and limit inferior, Connectedness, Parity (mathematics), Topology, Arzelà–Ascoli theorem, Limit point, Riemann surface, Analytic function, Subsequence, Line segment, Power series, Subset, Natural number, Dyadic rational, Maximum principle, Differentiable function, Interior (topology), Absolute value, Cauchy sequence, Separated sets, Integer, Equicontinuity, Summation, Complex number, Real number, Unit interval