The D-Property of Finite Unions of t-Metrizable Spaces and Certain Function Spaces

الملخص EN

The additivity of D-property is studied on t-metrizable spaces and certain function spaces.

It is shown that a space of countable tightness is a D-space provided that it is the union of finitely many t-metrizable subspaces, or function spaces Cp(Xi) where each Xi is Lindelöf Σ.