The collected papers of Hassler Whitney. Volume I and II. Edited by James Eells and Domingo Toledo
type: Item
instance of: scholarly article
title: The collected papers of Hassler Whitney. Volume I and II. Edited by James Eells and Domingo Toledo
zbMATH Open document ID: 0746.01016
published in: Contemporary Mathematicians
publication date: 1992-09-18T00:00:00Z
review text: ``This collection contains all the published papers, with the exception of some short announcements that Whitney did not wish to be included. [The editors] also include the introduction to this book \textit{Geometric integration theory}, and one previously unpublished manuscript on the four-color problem.'' The papers are organized by subject matter into three chapters in the first volume and five in the second volume. Within each chapter the papers are arranged chronologically. Volume I: Chapter 1, Graphs and combinatorics (twelve items); Chapter 2, Differentiable functions and singularities (seventeen items); Chapter 3, Analytic spaces (four items). Volume II: Chapter 1, Manifolds (seven items); Chapter 2, Bundles and characteristic classes (four items); Chapter 3, Topology and algebraic topology (fifteen items); Chapter 4, Geometric integration theory (five items); Chapter 5, Other subjects (six items). ``Whitney intended to write an introduction to this collection. Unfortunately he left us no manuscript at the time of his death... [The editors] had discussed [with him] the possibility of using his paper `Moscow 1935 --- Topology moving toward America', written for the Centennial of the American Mathematical Society, as part of his introduction to this collection... [They] therefore include this paper, which contains personal information as well as mathematical reflections, as Whitney's own introduction to these volumes.'' Apparently, the original paper included a photograph of twenty-four of the Moscow conference participants; regrettably, it is not reproduced in the present collection [cf. \textit{P. L. Duren} et al. (ed.), A century of mathematics in America. Part 1 (Providence, RI 1988)]. Both volumes contain a complete set of contents, the preface, a listing of Whitney's academic appointments and awards, and Whitney's bibliography. With one exception (in French) all of the items are in English. (Quotations, above, are from the Preface.).
Mathematics Subject Classification ID: 01A75
zbMATH DE Number: 52673
zbMATH Keywords: graphs
zbMATH Keywords: combinatorics
zbMATH Keywords: differentiable functions
zbMATH Keywords: singularities
zbMATH Keywords: analytic spaces
zbMATH Keywords: manifolds
zbMATH Keywords: bundles
zbMATH Keywords: characteristic classes
zbMATH Keywords: topology
zbMATH Keywords: algebraic topology
zbMATH Keywords: geometric integration theory
MaRDI profile type: Publication
author: Hassler Whitney
description: scientific article; zbMATH DE number 52673