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math.LO2000
On binary relations without non-identical endomorphisms
Apoloniusz Tyszka
On every set A there is a rigid binary relation, i.e. such a relation R that there is no homomorphism (A,R)->(A,R) except the identity (Vopenka et al. [1965]). We state two conject…
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…