Almost Everywhere Behavior of Functions According to Partition Measures
This paper will study almost everywhere behaviors of functions on partition spaces of cardinals possessing suitable partition properties. Almost everywhere continuity and monotonicity properties for functions on partition spaces will be established. These results will be applied to distinguish the c...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2024-01-01
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| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423001305/type/journal_article |
| _version_ | 1797341137281744896 |
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| author | William Chan Stephen Jackson Nam Trang |
| author_facet | William Chan Stephen Jackson Nam Trang |
| author_sort | William Chan |
| collection | DOAJ |
| description | This paper will study almost everywhere behaviors of functions on partition spaces of cardinals possessing suitable partition properties. Almost everywhere continuity and monotonicity properties for functions on partition spaces will be established. These results will be applied to distinguish the cardinality of certain subsets of the power set of partition cardinals. |
| first_indexed | 2024-03-08T10:14:19Z |
| format | Article |
| id | doaj.art-1d7abebfc2984c0cb0571e02e58b63cf |
| institution | Directory Open Access Journal |
| issn | 2050-5094 |
| language | English |
| last_indexed | 2024-03-08T10:14:19Z |
| publishDate | 2024-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj.art-1d7abebfc2984c0cb0571e02e58b63cf2024-01-29T05:29:46ZengCambridge University PressForum of Mathematics, Sigma2050-50942024-01-011210.1017/fms.2023.130Almost Everywhere Behavior of Functions According to Partition MeasuresWilliam Chan0Stephen Jackson1Nam Trang2Institute for Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstraße 8-10/104, Vienna, 1040, Austria; E-mail:Department of Mathematics, University of North Texas, 1155 Union Circle #311430, Denton, Texas, 76203, USA; E-mail:Department of Mathematics, University of North Texas, 1155 Union Circle #311430, Denton, Texas, 76203, USA; E-mail:This paper will study almost everywhere behaviors of functions on partition spaces of cardinals possessing suitable partition properties. Almost everywhere continuity and monotonicity properties for functions on partition spaces will be established. These results will be applied to distinguish the cardinality of certain subsets of the power set of partition cardinals.https://www.cambridge.org/core/product/identifier/S2050509423001305/type/journal_article03E0203E60 |
| spellingShingle | William Chan Stephen Jackson Nam Trang Almost Everywhere Behavior of Functions According to Partition Measures Forum of Mathematics, Sigma 03E02 03E60 |
| title | Almost Everywhere Behavior of Functions According to Partition Measures |
| title_full | Almost Everywhere Behavior of Functions According to Partition Measures |
| title_fullStr | Almost Everywhere Behavior of Functions According to Partition Measures |
| title_full_unstemmed | Almost Everywhere Behavior of Functions According to Partition Measures |
| title_short | Almost Everywhere Behavior of Functions According to Partition Measures |
| title_sort | almost everywhere behavior of functions according to partition measures |
| topic | 03E02 03E60 |
| url | https://www.cambridge.org/core/product/identifier/S2050509423001305/type/journal_article |
| work_keys_str_mv | AT williamchan almosteverywherebehavioroffunctionsaccordingtopartitionmeasures AT stephenjackson almosteverywherebehavioroffunctionsaccordingtopartitionmeasures AT namtrang almosteverywherebehavioroffunctionsaccordingtopartitionmeasures |