Topology and Measure

Flemming Topsøe

Type: Book

Publication Date: 1970-01-01

Citations: 193

DOI: https://doi.org/10.1007/bfb0069481

Abstract

Measure and integral, definitions.- Basic result on construction of a measure.- Basic result on construction of an integral.- Finitely additive theory.- From Baire measures to Borel measures, an abstract approach.- Construction of measures by approximation from outside and by approximation from inside.- On the possibility of providing a space of measures with a vague topology.- Definition and basic properties of the weak topology.- Compactness in the weak topology.- Criteria for weak convergence.- On the structure of M +(X).- A problem related to questions of uniformity.- First solution of the ?-problem.- Second solution of the ?-problem.- Uniformity classes.- Joint continuity.- Preservation of weak convergence.

Locations

Lecture notes in mathematics - View
Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Measure and Topology	1992	Bernard R. Gelbaum
+	Measure and Topology	1982	Bernard R. Gelbaum
+	Measure and topology	1977	Arlen Brown Carl Pearcy
+	Topology	1994	James Davidson
+	Topology and Measures	2016	Yves Coudène
+	Fundamentals of Topology	2009	Asuman Güven Aksoy Mohamed A. Khamsi
+	Topology and Measure Theory	2000	Peter A. Loeb
+	Topology and Measure Theory	2015	Peter A. Loeb
+	Topology and measure theory	1976	A. H. Stone
+	Topology	2021	James Davidson
+	Topology	2008	John Stillwell
+	Probability and measure	2011	Ekkehard Kopp
+	Topology	1989	John Stillwell
+	Measure and topology	2009
+	Measure, Topology, and Differentiation	2002	R. M. Dudley
+	Measure and integral	1977	Richard L. Wheeden Antoni Zygmund
+	Measure and Integration	1995	Norman R. Howes
+	General Topology	2002	R. M. Dudley
+	Topology	2023	Giulio Bottazzi
+	Topology	2015	Marco Manetti

Works That Cite This (155)

Action	Title	Year	Authors
+	Strong duality of the Monge-Kantorovich mass transfer problem in metric spaces	2002	Onésimo Hernández-Lerma J. Rigoberto Gabriel
+	Some results on analytic spaces and semi-analytic functions with regard to gambling theory	1977	Horst Wiltmann
+ PDF Chat	A generalized Weyl equidistribution theorem for operators, with applications	1972	J. R. Blum V. J. Mizel
+	The Riesz-Radon-Fréchet problem of characterization of integrals	2010	V. K. Zakharov A. V. Mikhalev Timofey V. Rodionov
+	The Completion of the Manifold of Riemannian Metrics	2009	Brian Clarke
+	S-uniform scalar integrability and strong laws of large numbers for Pettis integrable functions with values in a separable locally convex space	2000	Charles Castaing Paul Raynaud de Fitte
+ PDF Chat	Criteria for σ-Smoothness, τ-Smoothness, and Tightness of Lattice Regular Measures, with Applications	1981	George Bachman Panagiotis D. Stratigos
+	On large deviations of coupled diffusions with time scale separation	2013	Anatolii A. Puhalskii
+	On large deviations of coupled diffusions with time scale separation	2016	Anatolii A. Puhalskii
+ PDF Chat	Probability, valuations, hyperspace: Three monads on top and the support as a morphism	2021	T. A. Fritz Paolo Perrone Sharwin Rezagholi

Works Cited by This (0)

Action	Title	Year	Authors