The Collins-Roscoe mechanism and D-spaces
Yuming Xu, D\'aniel Soukup
TL;DR
This paper establishes that certain well-structured topological spaces, such as well ordered $(eta A)$, linearly semi-stratifiable, or elastic spaces, inherently possess the D-space property, linking structural conditions to D-space characteristics.
Contribution
It proves that well ordered $(eta A)$, linearly semi-stratifiable, or elastic spaces are D-spaces, expanding understanding of conditions that imply D-space status.
Findings
Well ordered $(eta A)$ spaces are D-spaces.
Linearly semi-stratifiable spaces are D-spaces.
Elastic spaces are D-spaces.
Abstract
We prove that if a space X is well ordered , or linearly semi-stratifiable, or elastic then X is a D-space.
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