Topology

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Topology

  • What is a topology on a set?
    • Open sets.
    • Closed sets.
    • Neighborhood of a point.
    • Interior points of a set. Interior of a set.
    • Exterior point of a set. Exterior of a set.
    • Boundary point of a set. Boundary of a set.
    • Compact sets.
  • The "ball" topology on Rn
    • The norm-2 on Rn.
    • Open balls in norm-2.
    • Open sets in the norm-2 topology.
  • The "box" topology on Rn
    • The norm-infinity on Rn.
    • Open balls in norm-infinity.
    • Open sets in the norm-infinity topology.
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