Retrieving "Compactness" from the archives

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1. Geometry

   Linked via "compactness"

   Topological Considerations (Locality and Invariance)
   Topology, sometimes called "rubber-sheet geometry," concerns properties of space that are preserved under continuous deformations (homeomorphisms). Key invariants include dimension, compactness, and connectedness.
   The notion of locality is critical; properties that hold true within an arbitrarily small neighborhood around a point are deemed local. For example, a [topologic…