Measure characterizations and properties of normal and regular lattices
Various equivalent characterizations of normality are considered and a measure theoretic definition is given for strongly normal lattices. Measure conditions related to the apace of σ-smooth, lattice-regular, 0−1 measures are noted which imply, or are equivalent to, the space being Hausdorff, regula...
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000455 |
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| _version_ | 1832566184718893056 |
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| author | Peter M. Grassi |
| author_facet | Peter M. Grassi |
| author_sort | Peter M. Grassi |
| collection | DOAJ |
| description | Various equivalent characterizations of normality are considered and a
measure theoretic definition is given for strongly normal lattices. Measure
conditions related to the apace of σ-smooth, lattice-regular, 0−1 measures are noted
which imply, or are equivalent to, the space being Hausdorff, regular, or prime
complete. |
| format | Article |
| id | doaj-art-27236ad5968d43a085d71caef40d84b2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-27236ad5968d43a085d71caef40d84b22025-02-03T01:04:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114238539210.1155/S0161171291000455Measure characterizations and properties of normal and regular latticesPeter M. Grassi0Department of Mathematics, Hofstra University, Hempstead 11550, New York, USAVarious equivalent characterizations of normality are considered and a measure theoretic definition is given for strongly normal lattices. Measure conditions related to the apace of σ-smooth, lattice-regular, 0−1 measures are noted which imply, or are equivalent to, the space being Hausdorff, regular, or prime complete.http://dx.doi.org/10.1155/S0161171291000455latticezero-one measuressigma-smoothnormalregular Hausdorffprime completestrongly normalfilterdisjunctive. |
| spellingShingle | Peter M. Grassi Measure characterizations and properties of normal and regular lattices International Journal of Mathematics and Mathematical Sciences lattice zero-one measures sigma-smooth normal regular Hausdorff prime complete strongly normal filter disjunctive. |
| title | Measure characterizations and properties of normal and regular lattices |
| title_full | Measure characterizations and properties of normal and regular lattices |
| title_fullStr | Measure characterizations and properties of normal and regular lattices |
| title_full_unstemmed | Measure characterizations and properties of normal and regular lattices |
| title_short | Measure characterizations and properties of normal and regular lattices |
| title_sort | measure characterizations and properties of normal and regular lattices |
| topic | lattice zero-one measures sigma-smooth normal regular Hausdorff prime complete strongly normal filter disjunctive. |
| url | http://dx.doi.org/10.1155/S0161171291000455 |
| work_keys_str_mv | AT petermgrassi measurecharacterizationsandpropertiesofnormalandregularlattices |