منابع مشابه
TheDimension of Suborders of theBoolean Lattice
We consider the order dimension of suborders of the Boolean lattice Bn. In particular we show that the suborder consisting of the middle two levels of Bn has dimension at most 6 log3 n. More generally, we show that the suborder consisting of levels s and s+ k of Bn has dimension O(k log n). Mathematics Subject Classifications (1991). 06A07, 05C35.
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For a fmite ordered set P, let c(P) denote the cardinality of the largest subset Q such that the induced suborder on Q satisfies the Jordan-Dedekind chain condition (JDCC), i.e., every maximal chain in Q has the same cardinality. For positive integers n, let be the minimum of c(P) over all ordered sets P of cardinahty n. We prove: &r 1 <f(n) < 4e AhfS (MOS) subject ckwiflcation (1980). 06AO5.
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We investigate the poset 〈P(X) ∪ {∅},⊂〉, where X is a countable ultrahomogeneous partial order and P(X) the set of suborders of X isomorphic to X. For X different from (resp. equal to) a countable antichain the order types of maximal chains in 〈P(X) ∪ {∅},⊂〉 are characterized as the order types of compact (resp. compact and nowhere dense) sets of reals having the minimum non-isolated. 2000 Math...
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Here we treat the problem of representability of an algebraic lattice by the weak congruence lattice of an algebra, i.e. the lattice of all symmetric and transitive relations compatible with algebra. We prove that some suborders of the representable lattices are representable, and give conditions under which these suborders are also sublattices of the initial lattices. We also prove that the di...
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Preclinical infection model systems are extremely valuable tools to aid in our understanding of Human Papillomavirus (HPV) biology, disease progression, prevention, and treatments. In this context, rodent papillomaviruses and their respective infection models are useful tools but remain underutilized resources in the field of papillomavirus biology. Two rodent papillomaviruses, MnPV1, which inf...
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ژورنال
عنوان ژورنال: Fossil Imprint
سال: 2019
ISSN: 2533-4069
DOI: 10.2478/if-2019-0018