The Collected Papers of Stephen Smale

by Wong, R.; Cucker, Felipe

• ISBN13: 9789810249915
• ISBN10: 9810249918
• Format: Hardcover
• Copyright: 2000-06-01
• Publisher: World Scientific Pub Co Inc

Table of Contents

Research Themes	1	(7)
Luncheon Talk and Nomination for Stephen Smale	8	(6)
R. Bott
Some Recollections of the Early Work of Steve Smale	14	(3)
M.M. Peixoto
Luncheon Talk	17	(3)
R. Thom
Banquet Address at the Smalefest	20	(2)
E.C. Zeeman
Some Retrospective Remarks	22	(7)
Part I. Topology
The Work of Stephen Smale in Differential Topology	29	(24)
M. Hirsch
A Note on Open Maps	53	(3)
A Vietoris Mapping Theorem for Homotopy	56	(7)
Regular Curves on Riemannian Manifolds	63	(21)
On the Immersion of Manifolds in Euclidean Space	84	(22)
R. K. Lashof
Self-Intersections of Immersed Manifolds	106	(15)
R. K. Lashof
A Classification of Immersions of the Two-Sphere	121	(10)
The Classification of Immersions of Spheres in Euclidean Spaces	131	(18)
Diffeomorphisms of the 2-Sphere	149	(6)
On Involutions of the 3-Sphere	155	(8)
M. Hirsch
The Generalized Poincare Conjecture in Higher Dimensions	163	(3)
On Gradient Dynamical Systems	166	(8)
Generalized Poincare's Conjecture in Dimensions Greater Than Four	174	(16)
Differentiable and Combinatorial Structures on Manifolds	190	(5)
On the Structure of 5-Manifolds	195	(9)
On the Structure of Manifolds	204	(13)
A Survey of Some Recent Developments in Differential Topology	217	(15)
The Story of the Higher Dimensional Poincare Conjecture (What Actually happened on the beaches of Rio)	232	(11)
Part II. Economics
Stephen Smale and the Economic Theory of General Equilibrium	243	(16)
G. Debreu
Global Analysis and Economics, I: Pareto optimum and a generalization of Morse theory	259	(12)
Global Analysis and Economics, IIA: Extension of a theorem of Debreu	271	(14)
Global Analysis and Economics, III: Pareto optima and price equilibria	285	(11)
Global Analysis and Economics, IV: Finiteness and stability of equilibria with general consumption sets and production	296	(9)
Global Analysis and Economics, V: Pareto theory with constraints	305	(9)
Dynamics in general equilibrium theory	314	(7)
Global Analysis and Economics, VI: Geometric Analysis of Pareto Optima and price equilibria under classical hypotheses	321	(14)
A Convergent Process of Price Adjustment and Global Newton Methods	335	(14)
Exchange Processes with Price Adjustment	349	(16)
Some Dynamical Questions in Mathematical Economics	365	(3)
An Approach to the Analysis of Dynamic Processes in Economic Systems	368	(5)
On Comparative Statics and Bifurcation in Economic Equilibrium Theory	373	(7)
The Prisoner's Dilemma and Dynamical Systems Associated to Non-Cooperative Games	380	(18)
Global Analysis and Economics	398	(40)
Gerard Debreu Wins the Nobel Prize	438	(2)
Global Analysis in Economic Theory	440	(5)
Part III. Miscellaneous
Scientists and the Arms Race	445	(9)
On the Steps of Moscow University	454	(7)
Some Autobiographical Notes	461	(19)
Mathematical Problems for the Next Century	480