Cut Points of Connected Sets and of Continua
نویسندگان
چکیده
منابع مشابه
On Non-cut Sets of Locally Connected Continua
W. L. Ayres and H. M. Gehman have proved independently that if a locally connected continuum S contains a non-cut point p, there exists an arbitrarily small region R containing p and such that S — R is connected. Our paper is concerned with certain generalizations of this theorem. We shall consider a space 5 which is a locally connected continuum and contains a closed set P such that S — P is c...
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In this paper propositions will be established concerning the collection of all the cut points of a given planef continuum. It will be shown that there does not exist an uncountable collection of mutually exclusive subcontinua of a given continuum M each of which contains at least one cut point of M. With the aid of this fundamental theorem it is shown, among other things, that the set of all t...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1930
ISSN: 0002-9947
DOI: 10.2307/1989485