...the functor С of example 5 gives a necessary and sufficient condition for homeomorphism — that is, two compact Hausdorff spaces X and Y are homeomorphic if and only if C(X) and C(Y) are isomorphic.1 This is not a particularly useful result, however, because it seems to be no easier to...

...Hereditarily indecomposable continua are characterized by their hyperspaces of subcontinua in the sense that X and Y are homeomorphic if and only if C(X) and C(Y") are homeomorphic. The composant structure of an hereditarily indecomposable continuum and of its subcontinua...

...N\(X, R") are investigated in some detail for certain A and the results obtained are used to prove that two compact Hausdorff spaces X and Y are homeomorphic if and only if the nearrings N\(X, R") and /V A (K, fl") are isomorphic. 1. Introduction. For information about nearrings,...