Topologies and Laplacian spectra of a deterministic uniform recursive tree

A blend of methods of recursion theory a

A blend of methods of recursion theory and topology: A П 0^1 tree of shadow points

✍ Iraj Kalantari; Larry Welch 📂 Article 📅 2004 🏛 Springer 🌐 English ⚖ 610 KB

This paper is a sequel to our [7]. In that paper we constructed a 0 1 tree of avoidable points. Here we construct a 0 1 tree of shadow points. This tree is a tree of sharp filters, where a sharp filter is a nested sequence of basic open sets converging to a point. In the construction we assign to ea