Totally disconnected compactifications
There is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171293000808 |
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doaj-d15c3cda5b514b4799f5f3240a0f6f162020-11-24T21:35:50ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116465365610.1155/S0161171293000808Totally disconnected compactificationsParfeny P. Saworotnow0Department of Mathematics, The Catholic University of America, Washington, DC 20064, USAThere is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.http://dx.doi.org/10.1155/S0161171293000808Gelfand theoryStone spacesBoolean ringsBoolean algebras. totally disconnected spacestotally disconnected compactificationsHausdorff compactifications Stone representation theorem. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Parfeny P. Saworotnow |
| spellingShingle |
Parfeny P. Saworotnow Totally disconnected compactifications International Journal of Mathematics and Mathematical Sciences Gelfand theory Stone spaces Boolean rings Boolean algebras. totally disconnected spaces totally disconnected compactifications Hausdorff compactifications Stone representation theorem. |
| author_facet |
Parfeny P. Saworotnow |
| author_sort |
Parfeny P. Saworotnow |
| title |
Totally disconnected compactifications |
| title_short |
Totally disconnected compactifications |
| title_full |
Totally disconnected compactifications |
| title_fullStr |
Totally disconnected compactifications |
| title_full_unstemmed |
Totally disconnected compactifications |
| title_sort |
totally disconnected compactifications |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1993-01-01 |
| description |
There is a one-to-one order preserving correspondence between totally disconnected
compactifications of a topological space and certain Boolean algebras of open closed subsets on
it. |
| topic |
Gelfand theory Stone spaces Boolean rings Boolean algebras. totally disconnected spaces totally disconnected compactifications Hausdorff compactifications Stone representation theorem. |
| url |
http://dx.doi.org/10.1155/S0161171293000808 |
| work_keys_str_mv |
AT parfenypsaworotnow totallydisconnectedcompactifications |
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1725943743362629632 |