Tverberg Partitions and Borsuk-Ulam Theorems

摘要

This paper is essentially an analysis of a method which the author had used in amanuscript (19) circulated in 1988-89. Some of its results have in the meantime been independently obtained by others, and it is possible that the newer methods of (21) might lead to better results. Nevertheless, it does give a complete account of one aspect of 'the method of deleted joins': it delineates clearly its power and limitations, as far as the two topics mentioned in the title are concerned, if one uses finite groups, as against (21), where the authors use a continuous group action.