GEOGRAPHY AND THE PROPERTIES OF SURFACES. GEOGRAPHY AND AN EXISTENCE THEOREM
Abstract
Computer mapping is used here to effect the 'solution' to the problem of locating on the earth's surface those sets of antipodal points for which equal values occur for some function f and equal values occur for some function g when both of these functions may be regarded as continuous over a sphere. An existence theorem in mathematics (proposed by Ulam and proved by Borsuk) states that at least one such set of antipodal points must always exist. Geographers, naturally enough, are interested in finding the locations of such sets for pertinent real phenomena on the earth's surface.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 05, 1968
- Accession Number
- AD0673957
Entities
People
- Stephen E. Selkowitz
Organizations
- Harvard University