Rigid graphs of maps

Wladyslaw Kulpa · PUBLISHING HOUSE OF THE UNIVERSITY OF SILESIA (University of Silesia) · 1986

In this note we construct maps between metric separable connected spaces X and Y such that the graphs are connected, dense and rigid subspaces of the Cartesian product X×Y. From this result it follows that there is no maximal topology among metric separable connected topologies on a given set X.

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