Kobe Colloquium in Logic
以下の要領でコロクウィウムを開催します.
日時:2010年11月1日(月)17:00 〜 場所:神戸大学自然科学総合研究棟3号館4階421室(プレゼンテーション室) 講演者:Lajos Soukup(はんがりーかがくあかd) 題目:On splitting infinite-fold covers
アブストラクト: Let X be a set, kappa be a cardinal number and let H be a family of subsets of X which covers each x in X at least kappa times. What assumptions can ensure that H can be decomposed into kappa many disjoint subcovers?
We examine this problem under various assumptions on the set X and on the cover H: among other situations, we consider covers of topological spaces by closed sets, interval covers of linearly ordered sets and covers of the Euclidean space R^n by polyhedra and by arbitrary convex sets. We focus on these problems mainly for infinite kappa. Besides numerous positive and negative results, many questions turn out to be independent of the usual axioms of set theory.
交通:阪急六甲駅またはJR六甲道駅から神戸市バス36系統「鶴甲団地」 行きに乗車,「神大本部工学部前」停留所下車,徒歩すぐ. http://www.kobe-u.ac.jp/info/access/rokko/rokkodai-dai2.htm
連絡先:ブレンドレ ヨーグ [email protected]