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DC Field | Value | Language |
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dc.contributor.author | Martínez Alonso, Juan Carlos | - |
dc.contributor.author | Soukup, Lajos | - |
dc.date.accessioned | 2023-02-14T09:39:36Z | - |
dc.date.available | 2023-02-14T09:39:36Z | - |
dc.date.issued | 2019-06-15 | - |
dc.identifier.issn | 0166-8641 | - |
dc.identifier.uri | http://hdl.handle.net/2445/193559 | - |
dc.description.abstract | We prove the following consistency result for cardinal sequences of length $<\omega_3$ : if GCH holds and $\lambda \geq \omega_2$ is a regular cardinal, then in some cardinal-preserving generic extension $2^\omega=\lambda$ and for every ordinal $\eta<\omega_3$ and every sequence $f=\left\langle\kappa_\alpha: \alpha<\eta\right\rangle$ of infinite cardinals with $\kappa_\alpha \leq \lambda$ for $\alpha<\eta$ and $\kappa_\alpha=\omega$ if $\operatorname{cf}(\alpha)=\omega_2$, we have that $f$ is the cardinal sequence of some LCS space. Also, we prove that for every specific uncountable cardinal $\lambda$ it is relatively consistent with ZFC that for every $\alpha, \beta<\omega_3$ with $\operatorname{cf}(\alpha)<\omega_2$ there is an LCS space $Z$ such that $\left.\operatorname{CS}(Z)=\langle\omega\rangle_\alpha \gamma \lambda\right\rangle_\beta$. | - |
dc.format.extent | 10 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier B.V. | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1016/j.topol.2019.04.002 | - |
dc.relation.ispartof | Topology and its Applications, 2019, vol. 260, p. 116-125 | - |
dc.relation.uri | https://doi.org/10.1016/j.topol.2019.04.002 | - |
dc.rights | cc-by-nc-nd (c) Elsevier B.V., 2019 | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Nombres cardinals | - |
dc.subject.classification | Teoria de conjunts | - |
dc.subject.classification | Àlgebra de Boole | - |
dc.subject.classification | Dispersió (Matemàtica) | - |
dc.subject.other | Cardinal numbers | - |
dc.subject.other | Set theory | - |
dc.subject.other | Boolean algebras | - |
dc.subject.other | Scattering (Mathematics) | - |
dc.title | On cardinal sequences of length less than omega3 | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 690352 | - |
dc.date.updated | 2023-02-14T09:39:36Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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690352.pdf | 179.41 kB | Adobe PDF | View/Open |
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