Aleksander pelczynski (5 risultati)

91 S./pp., Originalbroschur (publisher's paper covers), Bibliotheksexemplar in gutem Zustand, exlibrary in fine condition, (Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics 30), Sprache: englisch.

Hardcover. Condizione: Good. Condizione sovraccoperta: Good. Cloth hardcover, 353 pages, NOT ex-library. No ISBN. Good condition, clean with unmarked text, free of inscriptions and stamps. Age-toned dust jacket with rubbed edges and short edge-nicks, old price in pen on the back. -- A foundational mathematical monograph that provides a presentation of results and methods in the topology of infinite-dimensional spaces. Published as Volume 58 in the prestigious Monografie Matematyczne series, the book focuses on spaces that appear in functional analysis and possess a local linear structure. Core Subject Matter and Major Results: The work is primarily concerned with the topological classification of infinite-dimensional metric linear spaces and convex sets. It presents several landmark theorems that were central to the field at the time of publication: - Keller's Theorem (1931): Establishes that every infinite-dimensional compact convex subset of a Hilbert space is homeomorphic to the Hilbert cube. - Kadec-Anderson Theorem (1965-1966): Demonstrates the topological equivalence of all infinite-dimensional separable Fréchet spaces. - Henderson's Theorem (1969): States that homotopy equivalence between infinite-dimensional manifolds implies they are homeomorphic under certain model assumptions. - Homeomorphism of Banach Spaces: Includes Bessaga's proof that an infinite-dimensional Banach space is homeomorphic to its unit sphere. Technical Themes and Structure: The text is designed for specialists in functional analysis and differential topology, covering topics such as: - Metric and Fréchet Spaces (analysing the local linear structure and topological properties of these spaces); - Manifolds Modeled on Infinite-Dimensional Spaces (exploring spaces that are locally homeomorphic to infinite-dimensional metric linear models); - Z-sets and Retractions (discussing specialized tools like Z-sets, simplicial complexes, and paracompact spaces used in infinite-dimensional proofs); - Linear Homeomorphisms (providing specific propositions regarding closed linear subspaces and their complementary subspaces). Czeslaw Bessaga and Aleksander Pelczynski were leading Polish mathematicians who made significant contributions to functional analysis. -- While published in 1975, the book remains a highly cited reference in the field of infinite-dimensional topology and has served as a prerequisite for later developments in the theory of infinite-dimensional manifolds.…

Hardcover. Condizione: Near Fine. Condizione sovraccoperta: Very Good. 8vo (24.8 cm), 353 pp. Publisher's cloth and dust jacket (dj slightly frayed and rubbed at extremities, previous owner stamp on the font free endpaper). Monografie Matematyczne, vol. 58. The book is an attempt to give a systematic presentation of results and methods which concern the topology of infinite-dimensional spaces appearing in functional analysis and admitting a local linear structure.…

Hardcover. Condizione: Very Good. 8vo (24.5 cm), 353 pp. Publisher's cloth and dust jacket (dust jacket slightly rubbed at extremities). A landmark monograph in the Polish mathematical tradition presenting a systematic treatment of the topology of infinite-dimensional spaces with local linear structure, as they arise in functional analysis. The nine chapters cover preliminaries in set-theoretic topology and functional analysis; spaces with convex structures, including the Dugundji extension theorem, ANRs, simplicial complexes, and Michael's selection theory; convex sets and homeomorphisms with theorems of Keller; the abstract theory of H-skeletons and skeletoids; Z-sets in the Hilbert cube and the countable product of lines; spaces homeomorphic to the countable product of lines, culminating in the theorems of Kadec and Anderson on the topological equivalence of infinite-dimensional separable Fréchet spaces; classification of non-separable Fréchet spaces including Troyanski's theorem; classification of non-complete separable linear metric spaces via Borelian and projective hierarchies; and infinite-dimensional topological manifolds, including Henderson's theorem classifying such manifolds by homotopy type. A foundational reference in infinite-dimensional topology, increasingly scarce in the original Polish edition.…

Condizione: New. Warszawa, 1975. 353 p. 9.1 x 6.6 x 1.1 inches [ak 0879].