Why are Invariants so special?

  1. I only ask, because I noticed that the Euler Characteristic is an invariant and pops up in differential geometry as the G-B theorem. so could some one explain why they are special.
  2. jcsd
  3. HallsofIvy

    HallsofIvy 41,270
    Staff Emeritus
    Science Advisor

    "Invariants" don't change! That makes them much easier to work with than things that are changing.
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