H-spectral spaces

摘要

Let X be a T_0-space, we say that X is H-spectral if its T_0-compactification is spectral. This paper deal with topological properties of H-spectral spaces. In the case of T_1-spaces the T_0-compactification coincides with the Wallman compactification. We give necessary and sufficient condition on the T_1 -space X in order to get its Wallman compactification spectral.