Letter to editors from
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Letter to editors from
RACSAM Rev. R. Acad. Cien. Serie A. Mat. VOL . 102 (2), 2008, pp. 203–203 Análisis Matemático / Mathematical Analysis Letter to editors from T. Banakh and A. Plichko Corollary 2 of our paper The algebraic dimension of linear metric spaces and Baire properties of their hyperspaces. Rev. R. Acad. Cien. Serie A. Mat. 100 (2006), 31-37 was known. It follows from Proposition VIII.2.2 in the book [C. Bessaga and A. Pełczyński, Selected topics in infinite-dimensional topology, Monografie Matematyczne, Warszawa, 1975]. We thank Z. Lipecki who call our attention to this theorem. Let us note that our topological approach to this fact allows to obtain new results on Baire hyperspaces. Taras Banakh Instytut Matematyki, Akademia Świȩtokrzyska, Kielce (Poland) Department of Mathematics, Ivan Franko Lviv National University, Lviv (Ukraine) Nipissing University, North Bay (Canada) [email protected] Anatolij Plichko Instytut Matematyki, Politechnika Krakowska im. Tadeusza Kościuszki Kraków (Poland) [email protected] Carta comunicada por / Letter communicated by Vicente Montesinos Santalucı́a. Recibida / Received: 20 de febrero de 2008. c 2008 Real Academia de Ciencias, España. ° 203