The City College of New YorkCCNY
Department of Mathematics
Division of Science

JOINT MATH-CS Colloquium: Two uses of topology in computing.

Mathematics Colloquium

Time and place

1 PM on Tuesday, February 14th, 2012;

Ralph Kopperman (CCNY)

Abstract

1) The computer screen looks like a rectangle in the plane, but in fact it consists of a finite number of addressable points. We discuss how this issue is resolved, resulting in a topologically defined adjacency of points which can be used in algorithms.

2) We relate the partially defined objects that arise in computing (say, knowing many decimal places of a number) to generalized ideas of "distance" in which the distance from a point to itself may not be 0.

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