Area (mathematics)

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In topology and analysis , the term area describes an open , non-empty and coherent subset of a topological space . In many theorems of function theory it is assumed that the functions under consideration are defined in one area and are holomorphic or meromorphic there.

Comments and examples

  • is called star region if D is star-shaped and a region.
  • is called convex region if D is convex and a region.
  • Every convex region is a star region.

See also


Web links

Wiktionary: Territory  - explanations of meanings, word origins, synonyms, translations