On locally extremal functions on connected spaces
classification
🧮 math.GN
math.MG
keywords
connectedlocalpointspacecompleteconstructcontinuousdefined
read the original abstract
We construct an example of a real-valued continuous non-constant function $f$ defined on a connected complete metric space $X$ such that every point of $X$ is a point of local minimum or local maximum for $f$. The space $X$ is connected but fails to be separably connected.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.