On spaces whose nowhere dense subsets are scattered
The aim of this paper is to study the class of N-scattered spaces, i.e. the spaces whose nowhere dense subsets are scattered. The concept was recently used in a decomposition of scatteredness a topological space (X,τ) is scattered if and only if X is α-scattered (= its α-topology is scattered) a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298001021 |
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| _version_ | 1832567497678651392 |
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| author | Julian Dontchev David Rose |
| author_facet | Julian Dontchev David Rose |
| author_sort | Julian Dontchev |
| collection | DOAJ |
| description | The aim of this paper is to study the class of N-scattered spaces, i.e. the spaces
whose nowhere dense subsets are scattered. The concept was recently used in a decomposition of
scatteredness a topological space
(X,τ)
is scattered if and only if X is α-scattered (= its α-topology
is scattered) and N-scattered. |
| format | Article |
| id | doaj-art-2068731776b54fbe8771b0299abed5bc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2068731776b54fbe8771b0299abed5bc2025-02-03T01:01:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121473574010.1155/S0161171298001021On spaces whose nowhere dense subsets are scatteredJulian Dontchev0David Rose1Department of Mathematics, University of Helsinki, Hallituskatu 15, Helsinki 10 00014, FinlandDepartment of Mathematics, Southeastern College, 1000 Longfellow Boulevard, Lakeland, Florida 33801-6099, USAThe aim of this paper is to study the class of N-scattered spaces, i.e. the spaces whose nowhere dense subsets are scattered. The concept was recently used in a decomposition of scatteredness a topological space (X,τ) is scattered if and only if X is α-scattered (= its α-topology is scattered) and N-scattered.http://dx.doi.org/10.1155/S0161171298001021Scattered spaceα-scatteredN-scatteredrim-scatteredα-space topological ideal. |
| spellingShingle | Julian Dontchev David Rose On spaces whose nowhere dense subsets are scattered International Journal of Mathematics and Mathematical Sciences Scattered space α-scattered N-scattered rim-scattered α-space topological ideal. |
| title | On spaces whose nowhere dense subsets are scattered |
| title_full | On spaces whose nowhere dense subsets are scattered |
| title_fullStr | On spaces whose nowhere dense subsets are scattered |
| title_full_unstemmed | On spaces whose nowhere dense subsets are scattered |
| title_short | On spaces whose nowhere dense subsets are scattered |
| title_sort | on spaces whose nowhere dense subsets are scattered |
| topic | Scattered space α-scattered N-scattered rim-scattered α-space topological ideal. |
| url | http://dx.doi.org/10.1155/S0161171298001021 |
| work_keys_str_mv | AT juliandontchev onspaceswhosenowheredensesubsetsarescattered AT davidrose onspaceswhosenowheredensesubsetsarescattered |