4 papers
Two problems of SI-compact spaces
Zhengmao He
Zhao and Ho use the irreducible open cover family respected with the Scott topology to introduce the SI-compactness. It has been proved that the SI-compactness is strictly stronger…
A new method for constructing a compact and non SI-compact space
Zhengmao He, Bin Zhao
In this paper, we provide a new method for constructing a compact and non SI-compact space and thus give a new answer for the question posed by Zhao and Ho. Using this method, we f…
When do weakly first-countable spaces and the Scott topology of open set lattice become sober?
Zhengmao He
In this paper, we investigate the sobriety of weakly first-countable spaces and give some sufficient conditions that the Scott topologies of the open set lattices are sober. The ma…
Some problems about co-consonance of topological spaces
Zhengmao He, Bin Zhao
In this paper, we first prove that the retract of a consonant space (or co-consonant space) is consonant (co-consonant). Using this result, some related results have obtained. Simu…