output
19992025
most citedThe viscosity parameter alpha and the properties of accretion disc outbursts in close binaries

72 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing math.LOShow all

5 papers · 1 filter

math.LO2019★ 1 cited

Hilbert's 10th Problem for solutions in a subring of Q

Agnieszka Peszek, Apoloniusz Tyszka

Yuri Matiyasevich's theorem states that the set of all Diophantine equations which have a solution in non-negative integers is not recursive. Craig Smoryński's theorem states that…

math.LO2014★ 5 cited

Is there a computable upper bound for the height of a solution of a Diophantine equation with a unique solution in positive integers?

Apoloniusz Tyszka

Let B_n={x_i \cdot x_j=x_k, x_i+1=x_k: i,j,k \in {1,...,n}}. For a positive integer n, let ξ(n) denote the smallest positive integer b such that for each system S \subseteq B_n wit…

math.LO2001

A stronger form of the theorem constructing a rigid binary relation on any set

Apoloniusz Tyszka

On every set A there is a rigid binary relation i.e. such a relation R \subseteq A \times A that there is no homomorphism (A,R) \rightarrow (A,R) except the identity (Vop{ě}nka et…

math.LO2000

A combinatorial characterization of second category subsets of X^ω

Apoloniusz Tyszka

Let a finite non-empty X is equipped with discrete topology. We prove that S \subseteq X^ωis of second category if and only if for each f:ω-> \bigcup_{n \in ω} X^n there exists a s…

math.LO1999

A new combinatorial characterization of the minimal cardinality of a subset of R which is not of first category

Apoloniusz Tyszka

Let M denote the ideal of first category subsets of R. We prove that min{card X: X \subseteq R, X \not\in M} is the smallest cardinality of a family S \subseteq {0,1}^ωwith the pro…