The discussion revolves around identifying an example of a non-homogeneous topological space. Participants are exploring the concept of spaces that exhibit different topological properties in various regions.
The discussion is ongoing, with participants sharing their thoughts and questioning the appropriateness of suggested examples. There is an exploration of different interpretations of what constitutes a non-homogeneous space, and some guidance is being offered regarding the nature of metrics.
Participants are grappling with the definitions and properties of topological spaces and metrics, which may be contributing to the difficulty in identifying a suitable example. The original poster expresses uncertainty about where to begin, indicating a potential gap in foundational understanding.
What difficulty are you having translating this into an example? Just pick the parts and put them into a space.Intuitively I think I'm looking for a space where one part of it has different topological properties from another location.