Karol borsuk editor (1 risultati)

Hardcover. Condizione: Good. Scarce oversized cloth hardcover, li [51] + 609 pages, NOT ex-library. Primarily in French (40 papers), 8 papers in English, 1 in German. All introductory matters in English. Weight over 1kg. Age-spotted outer page and board edges, tiny creases in page corners. Interior is clean, untanned, with unmarked text, free of inscriptions and stamps; good secure binding. No dust jacket. -- This volume presents a curated collection of the most significant research papers by Kazimierz Kuratowski, a leading figure of the Warsaw School of Mathematics and one of the 20th century's most influential topologists. The selected works showcase his foundational contributions to the fields of point-set topology and descriptive set theory. The papers cover his key results, including his work on the closure axioms, the Kuratowski-Zorn lemma, and the characterization of planar graphs (Kuratowski's theorem). Edited by his renowned students Karol Borsuk and Ryszard Engelking, this volume serves as an essential resource, making the seminal works of a mathematical master accessible to researchers and students in topology and the foundations of mathematics. -- Kazimierz Kuratowski (1896-1980) was a Polish mathematician and logician. He was one of the leading representatives of the Warsaw School of Mathematics. His main contributions to mathematics include: - a characterization of Hausdorff spaces which are now called Kuratowski closure axioms; - proof of the Kuratowski-Zorn lemma; - in graph theory, the characterization of planar graphs now known as Kuratowski's theorem; - identification of the ordered pair (x,y) with the set {{x},{x,y}}; - introduction of the Tarski-Kuratowski algorithm; - Kuratowski's closure-complement problem; - Kuratowski's free set theorem; - Kuratowski convergence of subsets of metric spaces; - the Kuratowski, Ryll-Nardzewski measurable selection theorem; Kuratowski's post-war works were mainly focused on three strands: development of homotopy in continuous functions; construction of connected space theory in higher dimensions; uniform depiction of cutting Euclidean spaces by any of its subsets, based on the properties of continuous transformations of these sets.…