Monovex sets

Lev Buhovsky, Eilon Solan, Omri N. Solan

Research output: Contribution to journalArticlepeer-review


A set A in a finite-dimensional Euclidean space is monovex if for any x; y ϵ A there is a continuous path within A that connects x and y and is monotone (nonincreasing or nondecreasing) in each coordinate. We prove that every open monovex set and every closed monovex set are contractible, and we provide an example of a nonopen and nonclosed monovex set that is not contractible. Our proofs reveal additional properties of monovex sets.

Original languageEnglish
Pages (from-to)165-178
Number of pages14
JournalStudia Mathematica
Issue number2
StatePublished - 2018


  • Contractible sets
  • Monovex sets


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