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Acta Mathematica Hungarica
Author:
Jan Kraszewski
Abstract
We construct a translation invariant σ-ideal T(κ) (where κ is an infinite cardinal number) such that covt (T(κ)) = 2κ while cov (T(κ)) = cof (T(κ)) = ω1. The constructions can be carried out in R as well.
Periodica Mathematica Hungarica
Author:
Chuanming Zong
This article shows an inequality concerning blocking numbers and Hadwiger's covering numbers and presents a strange phenomenon concerning kissing numbers and blocking numbers. As a simple corollary, we can improve the known upper bounds for Hadwiger's covering numbers ford-dimensional centrally symmetric convex bodies to 3 d -1.
