  One of the main goals of region-based theories of space is to formulate a
geometrically appealing definition of points. The paper is devoted to the
analysis of two such seminal definitions: Alfred N. Whitehead's (1929) and
Andrzej Grzegorczyk's (1960). Relying on the work of Loredana Biacino's and
Ginagiacomo Gerla's (1996), we improve their results, solve some open problems
concerning the mutual relationship between Whitehead and Grzegorczyk points,
and put forward open problems for future investigation.
