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- W4366342878 abstract "A structural analysis of construction schemes is developed. That analysis is used to give simple and new constructions of combinatorial objects which have been of interest to set theorists and topologists. We then continue the study of capturing axioms associated to construction schemes. From them, we deduce the existence of several uncountable structures which are known to be independent from the usual axioms of Set Theory. Lastly, we prove that the capturing axiom $FCA(part)$ is implied by Jensen's $Diamond$ principle." @default.
- W4366342878 created "2023-04-20" @default.
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- W4366342878 date "2023-04-15" @default.
- W4366342878 modified "2023-10-18" @default.
- W4366342878 title "Construction schemes: transferring structures from $omega$ to $omega_1$" @default.
- W4366342878 doi "https://doi.org/10.48550/arxiv.2304.07624" @default.
- W4366342878 hasPublicationYear "2023" @default.
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