López-Pellicer, Manuel; Moll, Santiago Some aspects in the mathematical work of Jerzy Kąkol. (English) Zbl 1330.46004 Ferrando, Juan Carlos (ed.) et al., Descriptive topology and functional analysis. In honour of Jerzy Kąkol’s 60th birthday. Proceedings of the 1st meeting in topology and functional analysis, Elche, Spain, September 27–28, 2013. Cham: Springer (ISBN 978-3-319-05223-6/hbk; 978-3-319-05224-3/ebook). Springer Proceedings in Mathematics & Statistics 80, 1-26 (2014). Summary: We present some selected topics of the research developed by Professor Jerzy Kąkol with his collaborators. After some comments on Kąkol’s Ph.D.dissertation, we group together the chosen contributions in three sections: Topological vector spaces, Descriptive Topology and Functional Analysis, Other aspects in Kąkol’s work. For the sake of clarity the sections have been divided in subsections.For the entire collection see [Zbl 1297.46001]. MSC: 46-03 History of functional analysis 01A70 Biographies, obituaries, personalia, bibliographies 46A04 Locally convex Fréchet spaces and (DF)-spaces 46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators 54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) 54E52 Baire category, Baire spaces 46A50 Compactness in topological linear spaces; angelic spaces, etc. 46E10 Topological linear spaces of continuous, differentiable or analytic functions 46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis 47A53 (Semi-) Fredholm operators; index theories 54D60 Realcompactness and realcompactification 54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) Keywords:analytic space; Baire-type condition; compactness; descriptive topology; Fredholm operator; functional analysis; Hahn-Banach extension property; Hewitt spaces; \(K\)-analytic; locally convex space; non-Archimedean functional analysis; resolution; space of the continuous functions; sequential condition; topological vector space Biographic References: Kąkol, Jerzy PDFBibTeX XMLCite \textit{M. López-Pellicer} and \textit{S. Moll}, Springer Proc. Math. Stat. 80, 1--26 (2014; Zbl 1330.46004) Full Text: DOI