Generalizations of two theorems of Janiszewski

R. H. Bing

Type: Article

Publication Date: 1945-01-01

Citations: 11

DOI: https://doi.org/10.1090/s0002-9904-1945-08480-8

Abstract

Janiszewski proved [2] 1 the following for the plane.THEOREM A. The sum of two compact continua does not cut the point A from the point B provided neither cuts A from B and their common part is connected or does not exist.THEOREM B. The sum of two compact continua cuts the plane provided their common part is not connected.

Locations

Project Euclid (Cornell University) - View - PDF
Bulletin of the American Mathematical Society - View - PDF

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