Abstract
A topological space X is called C-Tychonoff if there exist a one-to-one function f from X onto a Tychonoff space Y such that the restriction f(vertical bar K) : K -> f (K) is a homeomorphism for each compact subspace K subset of X. We discuss this property and illustrate the relationships between C-Tychonoffness and some other properties like submetrizability, local compactness, L-Tychonoffness, C-normality, C-regularity, epinormality, sigma-compactness, pseudocompactness and zero-dimensional.