Applying Set Theory
We prove some results in set theory as applied to general topology and model theory. In particular, we study <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>ℵ</mo><mn>1</mn><...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/10/4/329 |
| _version_ | 1797506574222098432 |
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| author | Saharon Shelah |
| author_facet | Saharon Shelah |
| author_sort | Saharon Shelah |
| collection | DOAJ |
| description | We prove some results in set theory as applied to general topology and model theory. In particular, we study <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>ℵ</mo><mn>1</mn></msub></semantics></math></inline-formula>-collectionwise Hausdorff, Chang Conjecture for logics with Malitz-Magidor quantifiers and monadic logic of the real line by odd/even Cantor sets. |
| first_indexed | 2024-03-10T04:34:28Z |
| format | Article |
| id | doaj.art-2b1c08c8aec8495f8e1884b5d8f054f1 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T04:34:28Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-2b1c08c8aec8495f8e1884b5d8f054f12023-11-23T03:50:10ZengMDPI AGAxioms2075-16802021-11-0110432910.3390/axioms10040329Applying Set TheorySaharon Shelah0Einstein Institute of Mathematics Edmond J. Safra Campus, Givat Ram The Hebrew University of Jerusalem, Jerusalem 9190401, IsraelWe prove some results in set theory as applied to general topology and model theory. In particular, we study <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>ℵ</mo><mn>1</mn></msub></semantics></math></inline-formula>-collectionwise Hausdorff, Chang Conjecture for logics with Malitz-Magidor quantifiers and monadic logic of the real line by odd/even Cantor sets.https://www.mdpi.com/2075-1680/10/4/329set theorymodel theorygeneral topologymonadic logic |
| spellingShingle | Saharon Shelah Applying Set Theory Axioms set theory model theory general topology monadic logic |
| title | Applying Set Theory |
| title_full | Applying Set Theory |
| title_fullStr | Applying Set Theory |
| title_full_unstemmed | Applying Set Theory |
| title_short | Applying Set Theory |
| title_sort | applying set theory |
| topic | set theory model theory general topology monadic logic |
| url | https://www.mdpi.com/2075-1680/10/4/329 |
| work_keys_str_mv | AT saharonshelah applyingsettheory |