# Zvonko Iljazović: Computable topological type

Date of publication: 16. 10. 2018

Mathematics and theoretical computing seminar

Četrtek, 18. 10. 2018, od 11h do 13h, učilnica 3.07, Jadranska 21

**Abstract:**A compact subset of Euclidean space is computable if it can be effectively approximated by a finite set of points with rational coordinates with arbitrary precision. A compact subset of Euclidean space is semicomputable if its complement can be effectively covered by rational open balls. Each computable set is semicomputable, but a semicomputable set need not be computable. I will talk about certain topological conditions under which semicomputable sets are computable.