In topology, the degree, or Brouwer degree, of a continuous mapping between two compact oriented manifolds of the same dimension is a number representing how many times the domain manifold wraps around the range manifold under the mapping. The degree is always an integer, and it may be positive or negative depending on the orientations involved. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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1. Degree of a Continuous Mapping (Wikipedia)
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In topology, the degree or Brouwer degree of a continuous mapping between two compact oriented manifolds of the same dimension is a number that represents the number of times that the domain manifold wraps around the range manifold under the mapping.
In Branch: Topology, Lead sentence
In topology, the degree or Brouwer degree of a continuous mapping between two compact oriented manifolds of the same dimension is
Attributed To: L. E. J. Brouwer, Lead paragraph
was first defined by Brouwer
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