Small scattered topological invariants
We present a unified approach to define dimension functionslike $rind$, $rind_p$, $rt$ and~$p$. We show how somesimilar facts on these functions can be proved similarly.Moreover, several new classes of infinite-dimensional spacesclose to the classes of countable-dimensional and$sigma$-hereditarily d...
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| Main Authors: | , |
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| Format: | Article |
| Language: | German |
| Published: |
Ivan Franko National University of Lviv
2013-07-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2013/39_2/212-222.pdf |
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| _version_ | 1839603216502751232 |
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| author | V. Chatyrko Ya. Hattori |
| author_facet | V. Chatyrko Ya. Hattori |
| author_sort | V. Chatyrko |
| collection | DOAJ |
| description | We present a unified approach to define dimension functionslike $rind$, $rind_p$, $rt$ and~$p$. We show how somesimilar facts on these functions can be proved similarly.Moreover, several new classes of infinite-dimensional spacesclose to the classes of countable-dimensional and$sigma$-hereditarily disconnected ones are introduced. Weprove a compactification theorem for these classes. |
| format | Article |
| id | doaj-art-4150f87fcc1641dca807f2e4b5ce7cf4 |
| institution | Matheson Library |
| issn | 1027-4634 |
| language | deu |
| publishDate | 2013-07-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-4150f87fcc1641dca807f2e4b5ce7cf42025-08-02T06:16:23ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342013-07-01392212222Small scattered topological invariantsV. ChatyrkoYa. HattoriWe present a unified approach to define dimension functionslike $rind$, $rind_p$, $rt$ and~$p$. We show how somesimilar facts on these functions can be proved similarly.Moreover, several new classes of infinite-dimensional spacesclose to the classes of countable-dimensional and$sigma$-hereditarily disconnected ones are introduced. Weprove a compactification theorem for these classes.http://matstud.org.ua/texts/2013/39_2/212-222.pdfsmall transfinite inductive dimensionseparation dimensioncountable-dimensional spacesσ -hereditarily disconnected spaces |
| spellingShingle | V. Chatyrko Ya. Hattori Small scattered topological invariants Математичні Студії small transfinite inductive dimension separation dimension countable-dimensional spaces σ -hereditarily disconnected spaces |
| title | Small scattered topological invariants |
| title_full | Small scattered topological invariants |
| title_fullStr | Small scattered topological invariants |
| title_full_unstemmed | Small scattered topological invariants |
| title_short | Small scattered topological invariants |
| title_sort | small scattered topological invariants |
| topic | small transfinite inductive dimension separation dimension countable-dimensional spaces σ -hereditarily disconnected spaces |
| url | http://matstud.org.ua/texts/2013/39_2/212-222.pdf |
| work_keys_str_mv | AT vchatyrko smallscatteredtopologicalinvariants AT yahattori smallscatteredtopologicalinvariants |