Limits of Mappings

2016/02/23 by L. Hosseini, Hosseini, L., Jaroslav Nešetřil +3 · 1 citation
Mathematics · #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1602.07147

openalex publication_date 2016/02/23 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this paper we consider a simple algebraic structure --- sets with a single endofunction. We shall see that from the point of view of limits, even this simplest case is both interesting and difficult. Nevertheless we obtain the shape of limit objects in the full generality, and we prove the inverse theorem in the easiest case of quantifier-free limits.

Cited by

• Modeling FO-limits for monadically stable sequences

Related

• Mapping and fixed point property theorems for inverse limits with set-valued bonding functions
• An Inverse System of Nonempty Objects with Empty Limit
• Approximations of Mappings
• On the inverse limits of finite posets
• Some topological and combinatorial properties preserved by inverse\n limits