Fixed Points [Reel 1 of 2; Composite]; Fixed Points [Reel 1 of 2; Composite]

Film begins. Title and credits: "Fixed Points" 00:00:23.002 --> 00:00:37.001 with Solomon Lefschetz

An Individual Lectures Project, ©Mathematical Association of America

Committee on Educational Media, Mathematical Association of America Presentation

Financial Support from the National Science Foundation

Introduction by Professor A. W. Tucker, Princeton University

Discussion Participants: Professor Leon W. Cohen, University of Maryland; Professor Shizuo Kakutani, Yale University; Professor A. W. Tucker, Princeton University

Director of Photography Amram Nowak

Credits for camera etc.

Produced, Directed and Edited for CEM by Professor A. N. Feldzamen, University of Wisconsin

A. W. Tucker begins introduction

Reads citation for the U.S. ational Medal of Science

Provides introduction to the topic of fixed points of mappings

Lefschetz begins lecture

Consider a transformation

Demonstrates one way to modify the curve on the board

Describes how he arrived at the figure that is basis of his work on fixed points

An element that partakes of both geometry and algebra: cycle

The problem of coincidences

Consider a circumference

End of the scheme

Begins examples of how to calculate the magic number of NT

Antipodal transformation

If a curve is continuously deformed on the surface...

End of lecture