Measure-theoretic characterizations of hereditarily-normal spaces
In this paper we characterize hereditarily-normal spaces in terms of the measure-theoretic properties of the lattice of closed sets. We then generalize from that lattice to other lattices. We apply the results to extremally-disconnected spaces.
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171292000826 |
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| _version_ | 1849686961485250560 |
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| author | Joseph Hertzlinger |
| author_facet | Joseph Hertzlinger |
| author_sort | Joseph Hertzlinger |
| collection | DOAJ |
| description | In this paper we characterize hereditarily-normal spaces in terms of the measure-theoretic properties of
the lattice of closed sets. We then generalize from that lattice to other lattices. We apply the results to extremally-disconnected spaces. |
| format | Article |
| id | doaj-art-00cfd77a21374cd79c1da59d222777ae |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-00cfd77a21374cd79c1da59d222777ae2025-08-20T03:22:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115462563010.1155/S0161171292000826Measure-theoretic characterizations of hereditarily-normal spacesJoseph Hertzlinger0Polytechnic University, USAIn this paper we characterize hereditarily-normal spaces in terms of the measure-theoretic properties of the lattice of closed sets. We then generalize from that lattice to other lattices. We apply the results to extremally-disconnected spaces.http://dx.doi.org/10.1155/S0161171292000826hereditarily-normal topological spacestwo-valued measureslattice of closed setsextremally-disconnected topological space. |
| spellingShingle | Joseph Hertzlinger Measure-theoretic characterizations of hereditarily-normal spaces International Journal of Mathematics and Mathematical Sciences hereditarily-normal topological spaces two-valued measures lattice of closed sets extremally-disconnected topological space. |
| title | Measure-theoretic characterizations of hereditarily-normal spaces |
| title_full | Measure-theoretic characterizations of hereditarily-normal spaces |
| title_fullStr | Measure-theoretic characterizations of hereditarily-normal spaces |
| title_full_unstemmed | Measure-theoretic characterizations of hereditarily-normal spaces |
| title_short | Measure-theoretic characterizations of hereditarily-normal spaces |
| title_sort | measure theoretic characterizations of hereditarily normal spaces |
| topic | hereditarily-normal topological spaces two-valued measures lattice of closed sets extremally-disconnected topological space. |
| url | http://dx.doi.org/10.1155/S0161171292000826 |
| work_keys_str_mv | AT josephhertzlinger measuretheoreticcharacterizationsofhereditarilynormalspaces |