Remarks concerning the paper of W. L. Ayres on the regular points of a continuum
| Autor: | Karl Menger |
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| Rok vydání: | 1931 |
| Předmět: | |
| Zdroj: | Transactions of the American Mathematical Society. 33:663-667 |
| ISSN: | 1088-6850 0002-9947 |
| DOI: | 10.1090/s0002-9947-1931-1501608-3 |
| Popis: | The reading of Ayres' interesting paper suggested to me the following remarks: 1. The order of a subset of a set S in a point p4 cannot surpass the order of S in p. Hence if S2 denotes the set of all points of S of order 2, then S2 has in each point of S the order 2, the order 1, or the order 0, where the terms "order 0" and "0-dimensional" are used synonymously. SI(M), S2(1), S" may denote the set of all points of S in which S2 has the order 0, 1, 2, respectively. The points of order 2 of S are also called the ordinary points of S, and the set S2 of all ordinarv points of S may be called the ordinary part of S. The set S" of all ordinary points of the ordinary part of S may be designated the ordinary kernel of S. WVe have |
| Databáze: | OpenAIRE |
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