Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Wednesday, June 22, 2011, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Martin Tancer (Charles Univ.)

Good covers are algorithmically unrecognizable

ood cover in d-dimensional Euclidean space is a finite collection of open sets homeomorphic to a d-ball such that the intersection of any nonempty subcollection is either empty or again homeomorphic to a d-ball. Good covers generalize collections of convex sets and their possible intersection patterns have been intensively studied in terms of necessary conditions.

The main result presented in the talk is that it is actually algorithmically undecidable to recognize whether a given "pattern" is an intersection pattern of a good cover.

Joint work with D. Tonkonog.

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