On some ideal related to the ideal (v0)
The ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some natural counterpart of the ideal (v0) related in an analogous way to the structure Dense(ℚ) and investigate its combinatorial properties. By the use of the notion of ideal type we prove that und...
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De Gruyter
2015-07-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2015-0039 |
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doaj-5f545654dc2a4e439ed85182e2d6815f2021-09-06T19:20:07ZengDe GruyterOpen Mathematics2391-54552015-07-0113110.1515/math-2015-0039math-2015-0039On some ideal related to the ideal (v0)Kalemba Piotr0Institute of Mathematics, University of Silesia in Katowice, PolandThe ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some natural counterpart of the ideal (v0) related in an analogous way to the structure Dense(ℚ) and investigate its combinatorial properties. By the use of the notion of ideal type we prove that under CH this ideal is isomorphic to (v0).https://doi.org/10.1515/math-2015-0039ideal (v0) ideal isomorphism ideal type continuum hypothesis |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kalemba Piotr |
| spellingShingle |
Kalemba Piotr On some ideal related to the ideal (v0) Open Mathematics ideal (v0) ideal isomorphism ideal type continuum hypothesis |
| author_facet |
Kalemba Piotr |
| author_sort |
Kalemba Piotr |
| title |
On some ideal related to the ideal (v0) |
| title_short |
On some ideal related to the ideal (v0) |
| title_full |
On some ideal related to the ideal (v0) |
| title_fullStr |
On some ideal related to the ideal (v0) |
| title_full_unstemmed |
On some ideal related to the ideal (v0) |
| title_sort |
on some ideal related to the ideal (v0) |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2015-07-01 |
| description |
The ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some
natural counterpart of the ideal (v0) related in an analogous way to the structure Dense(ℚ) and investigate its
combinatorial properties. By the use of the notion of ideal type we prove that under CH this ideal is isomorphic
to (v0). |
| topic |
ideal (v0) ideal isomorphism ideal type continuum hypothesis |
| url |
https://doi.org/10.1515/math-2015-0039 |
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AT kalembapiotr onsomeidealrelatedtotheidealv0 |
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1717777281465712640 |