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Construction of Regular Non-Atomic Strictly-Positive Measures in Second-Countable Non-Atomic Locally Compact Hausdorff Spaces Cover

Construction of Regular Non-Atomic Strictly-Positive Measures in Second-Countable Non-Atomic Locally Compact Hausdorff Spaces

Annales Mathematicae Silesianae
Volume 36 (2022): Issue 1 (March 2022)
By: Jason Bentley  
Open Access
|Mar 2022

References

  1. [1] D.L. Cohn, Measure Theory, 2nd Edition, Birkhäuser, New York, 2013.10.1007/978-1-4614-6956-8
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  2. [2] P. Mikusiński, On the completion of measures, Arch. Math. (Basel) 50 (1988), 259–263.10.1007/BF01187743
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  3. [3] M.E. Munroe, Introduction to Measure and Integration, Addison-Wesley, Cambridge, Mass., 1953.
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  4. [4] W. Rudin, Real and Complex Analysis, 3rd Edition, McGraw-Hill, New York, 1987.
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DOI: https://doi.org/10.2478/amsil-2022-0005 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
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Language: English
Page range: 15 - 25
Submitted on: Jun 17, 2021
Accepted on: Mar 6, 2022
Published on: Mar 22, 2022
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
regular measure,
non-atomic measure,
strictly-positive measure,
locally compact spaces,
non-atomic spaces,
Polish spaces,
regular spaces,
second-countable spaces
Related subjects:
Mathematics,
General mathematics

© 2022 Jason Bentley, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

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