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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| Published in: | Matematychni studii Vol. 39; no. 2; pp. 212 - 222 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Ivan Franko National University of Lviv
01.07.2013
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| ISSN: | 1027-4634 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Ya. Hattori V. Chatyrko |
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| Snippet | 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... |
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| SubjectTerms | countable-dimensional spaces separation dimension small transfinite inductive dimension σ -hereditarily disconnected spaces |
| Title | Small scattered topological invariants |
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