How to Give an Exposition of the Čech-Alexander-Spanier Type Homology Theory

Abstract

Resolution of Singularities of Embedded Algebraic Surfaces (Academic Press, 1966), A Glimpse of Algebraic Geometry (University of Poona, 1971), Algebraic Space Curves (Les Presses de l'Universite de Montreal, 1971), Geometric Theory of Algebraic Space Curves (with A.M. Sayhaye, SpringerVerlag, 1974), and Expansion Techniques in Algebraic Geometry (Tata Institute, 1977). Professor Abhyankar has recently helped found BHASKARACHARYA PRATISHTHANA, a mathematical research institute at 39/5 Erandavane, Pune 4, India. Professor Abhyankar serves as Prime Member and Director of the Governing Body of BHASKARACHARYA PRATISHTHANA. In his acceptance speech, Professor Abhyankar said, am very pleased and thankful for this honor. My attempt of writing readable mathematics was inspired by Bhaskaracharya's book on geometry called Lilavati which he composed in Sanskrit poetry around 1114 A.D. and through which my father initiated me to mathematics. With the aim of facilitating the cultivation and growth of mathematics in one of its original ancient homes, I have recently participated in founding the Bhaskaracharya Pratishthana, a mathematical institute in Pune in India, named after this great poet-mathematician. Hereby I appeal to all interested persons everywhere to help us in this venture by giving generous donations. Donations, payable to Bhaskaracharya Pratishthana, may be sent to me at: Mathematics Department, Purdue University, West Lafayette, IN 47907, U.S.A.