Abstract

Abstract. We present a few results on the three functors: the exponential functor exp (and its subfunctors exp n) , the functor of permutation degree SP n and the functor N (the space of complete linked systems). We consider several generalized metric and cardinal properties of the spaces F(X), where F is one of the three mentioned functors. In particular, we consider topological properties P for which F(X) has P if and only if X has P.

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