Results 1 to 10 of about 2,116 (68)
Hereditary interval algebras and cardinal characteristics of the continuum [PDF]
Israel Journal of Mathematics, 2021 An interval algebra is a Boolean algebra \(B\) which is isomorphic to the algebra of finite unions of half-open intervals, of a linearly ordered set. The interval algebra \(B\) is hereditary if all its subalgebras are interval algebras. \textit{M. Bekkali} and \textit{S. Todorčević} [Algebra Univers. 73, No.
Hrušák, Michael +2 more
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Preservation of splitting families and cardinal characteristics of the continuum [PDF]
Israel Journal of Mathematics, 2021 AbstractWe show how to construct, via forcing, splitting families that are preserved by a certain type of finite support iterations. As an application, we construct a model where 15 classical characteristics of the continuum are pairwise different, concretely: the 10 (non-dependent) entries in Cichoń’s diagram,$$\mathfrak{m}$$m(2-Knaster),$$\mathfrak{p}
Goldstern, Martin +3 more
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Cardinal characteristics of the continuum and partitions [PDF]
Israel Journal of Mathematics, 2019 We prove combinatorial theorems concerning the stick principle and cardinal characteristics.
Chen, William +2 more
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$Q$-spaces, perfect spaces and related cardinal characteristics of the continuum
Banach Center Publications, 2023 6 ...
Banakh, Taras, Bazylevych, Lidiya
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σ-Continuous Functions and Related Cardinal Characteristics of the Continuum
Tatra Mountains Mathematical Publications, 2020 Abstract A function f : X → Y between topological spaces is called σ-continuous (resp. ̄σ-continuous) if there exists a (closed) cover {Xn } n ∈ ω of X such that for every n ∈ ω the restriction f ↾ Xn is continuous. By 𝔠
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COUNTABLY COMPACT EXTENSIONS AND CARDINAL CHARACTERISTICS OF THE CONTINUUM
The Journal of Symbolic LogicAbstract In this paper, we show that the existence of certain first-countable compact-like extensions is equivalent to the equality between corresponding cardinal characteristics of the continuum. For instance, $\mathfrak b=\mathfrak s=\mathfrak c$ if and only if every regular first-countable space of weight
SERHII BARDYLA +2 more
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Hereditary Interval Algebras and Cardinal Characteristics of the Continuum
, 2019 An interval algebra is a Boolean algebra which is isomorphic to the algebra of finite unions of half-open intervals, of a linearly ordered set. An interval algebra is hereditary if every subalgebra is an interval algebra. We answer a question of M. Bekkali and S.
Michael +5 more
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Simple Cardinal Characteristics of the Continuum
, 1994 The published version contains some typographical errors and was printed on a machine that failed to distinguish boldface and lightface capital Greek ...
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Reductions Between Cardinal Characteristics of the Continuum
, 1994 We discuss two general aspects of the theory of cardinal characteristics of the continuum, especially of proofs of inequalities between such characteristics. The first aspect is to express the essential content of these proofs in a way that makes sense even in models where the inequalities hold trivially (e.g., because the continuum hypothesis holds ...
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Cardinal Characteristics of the Continuum Based on Asymptotic Density
, 2019 A cardinal characteristic of the continuum is a cardinal number strictly greater than the cardinality of the natural numbers, and less than the cardinality of the continuum (i. e. the real numbers). In general, we are only interested in those cardinal characteristics of the continuum that consistently are strictly less than the continuum ...
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