Miklós Schweitzer 1959- Problem 2
Source:
October 30, 2015
geometrycollege conteststopologyreal analysis
Problem Statement
2. Omit the vertices of a closed rectangle; the configuration obtained in such a way will be called a reduced rectangle. Prove tha the set-union of any system of reduced rectangles with parallel sides is equal to the union of countably many elements of the system. (St. 3)