不含非恒等自同态的二元关系
On binary relations without non-identical endomorphisms
摘要:
在每一个集合A上都有一个严格的二元关系,即这样一个关系R,除了恒等式之外,没有同态(A,R)->(A,R)(Vopenka et al. [1965])。我们陈述两个加强这个定理的定理。我们证明了一些基数的这些定理。
英文摘要:
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 conjectures which strengthen this theorem. We prove these conjectures for some cardinalities.
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