Bessaga Czeslaw (6 results)

Condition: New. In.

Hardcover. Condition: Fair. Dust Jacket Condition: Poor. English text. 353 pages. Ex-library marks, cracked hinges; pages toned and a few bent corners; overall a good reference book still. The dust jacket is present but heavily chipped, torn and worn. Quantity Available: 1. Category: Mathematics; Inventory No: 230399.

Hardcover. Condition: Gut. Warszawa 1975. 353 p. OCloth. (slightly rubbed, edge browned).- Monografie Matematyczne, 24.- Annotations on flyleaf.

Hardcover. Condition: Good. Dust Jacket Condition: 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. Condition: Near Fine. Dust Jacket Condition: 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.

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