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We study point-separating function sets that are minimal with respect to the property of being separating. We first show that for a compact space X having a minimal separating function… Click to show full abstract
We study point-separating function sets that are minimal with respect to the property of being separating. We first show that for a compact space X having a minimal separating function set in Cp(X) is equivalent to having a minimal separating collection of functionally open sets in X. We also identify a nice visual property of X2 that may be responsible for the existence of a minimal separating function family for X in Cp(X). We then discuss various questions and directions around the topic.
Keywords:
note minimal;
function sets;
minimal separating;
separating function
Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2019
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Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!