An up-spectral space need not be A-spectral
Othman Echi, Riyadh Gargouri · 2004
An A-spectral space is a space such that its one-point compactifi- cation is a spectral space. An up-spectral space is defined to be a topological space X satisfying the axioms of a spectral space with the exception that X is not necessarily compact. This paper deals with the interactions between up-spectral spaces and A-spectral spaces. An example of up-spectral space which is not A-spectral is constructed.