[Banach] Abstract of a paper by Robert Bogucki

This is an announcement for the paper "On explicit constructions of auerbach bases in separable Banach spaces" by Robert Bogucki. Abstract: This paper considers explicit constructions of Auerbach bases in separable Banach spaces. Answering the question of A. Pe{\l}czy{\'n}ski, we prove by construction the existence of Auerbach basis in arbitrary subspace of $c_0$ of finite codimension and in the space $C(K)$ for $K$ compact countable metric space. Archive classification: math.FA Mathematics Subject Classification: 46B15, 46B20 Submitted from: r.bogucki@students.mimuw.edu.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1308.4429 or http://arXiv.org/abs/1308.4429