Two - Way Continuous Curves

نویسنده

  • G. T. WHYBURN
چکیده

A continuous curve M will be said to be a two-way continuous curve, or to be "two-way continuous," provided it is true that between every two points of M there exist in M at least two arcs neither of which is a subset of the other. A point P of a continuum M is a cut point of M provided it is true that the point set M—P is not connected. Every point of a continuum M which is not a cut point of M will be called a non-cut point of M. In a paper Concerning continua in the plane,\ among other results, I have established the following theorems which will be used in the proofs given in this paper.

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تاریخ انتشار 2007