| Title:
|
Another ordering of the ten cardinal characteristics in Cichoń's diagram (English) |
| Author:
|
Kellner, Jakob |
| Author:
|
Shelah, Saharon |
| Author:
|
Tănasie, Anda R. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
60 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
61-95 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is consistent that $$ \aleph_1 < {\rm add}{(\mathcal N)}< {\rm add}{(\mathcal M)}= \mathfrak{b} < {\rm cov} {(\mathcal N)} < {\rm non}{(\mathcal M)} < {\rm cov}{(\mathcal M)} = 2^{\aleph_0}. $$ Assuming four strongly compact cardinals, it is consistent that \begin{align*} \aleph_1 &< {\rm add}{(\mathcal N)} < {\rm add}{(\mathcal M)} =\mathfrak{b} < {\rm cov} {(\mathcal N)} < {\rm non}{(\mathcal M)} &<{\rm cov}{(\mathcal M)}< {\rm non}{(\mathcal N)} < {\rm cof}{(\mathcal M)}= \mathfrak{d} < {\rm cof}{(\mathcal N)} < 2^{\aleph_0}. \end{align*} (English) |
| Keyword:
|
set theory of the reals |
| Keyword:
|
Cichoń's diagram |
| Keyword:
|
forcing |
| Keyword:
|
compact cardinal |
| MSC:
|
03E17 |
| idZBL:
|
Zbl 07088826 |
| idMR:
|
MR3946665 |
| DOI:
|
10.14712/1213-7243.2015.273 |
| . |
| Date available:
|
2019-05-13T07:47:34Z |
| Last updated:
|
2021-04-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147671 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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