Super-measures and finitely defined topological measures |
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| Authors: | J. F. Aarnes S. V. Butler |
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| Affiliation: | (1) Department of Mathematics and Statistics, Norwegian University of Science and Technology, Trondheim, Avh, 7055, Dragvoll, Norway;(2) Department of Mathematics, University of Illinois at Urbana-Champaign, 273 Altgeld Hall, 1409 West Green Street, Urbana, Il 61801, USA |
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| Abstract: | ![]()
We introduce a class of set-functions on the set of natural numbers, which are called super-measures. Super-measures are then utilized to characterize a certain class of topological measures (previously called quasi-measures, see below) which arises naturally. The members of this class of topological measures are called finitely defined, and are shown to be dense in the set of all topological measures. This revised version was published online in June 2006 with corrections to the Cover Date. |
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| Keywords: | super-measures topological measures finitely defined dense set |
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