- Tytuł:
- A characterisation of a continuous curve
- Autorzy:
- Moore, R.
- Powiązania:
- https://bibliotekanauki.pl/articles/1385738.pdf
- Data publikacji:
- 1925
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
zbiór spójny
krzywa ciągła
zbiór rozdzielający
topologia
continuum - Opis:
- The purpose of this paper is to prove: Théorème: In order that a continuum M should be a continuous curve it is necessary and sufficient that for every two distinct points A and B of M there should exist a subset of M which consists of a finite number of continua and which separates A from B in M. Théorème: In order that a bounded continuum M should be a continuous curve which contains no domain and does not separate the plane it is necessary and sufficient that for every two distinct points A and B which belong to M there should exist a point which separates A from B in M.
- Źródło:
-
Fundamenta Mathematicae; 1925, 7, 1; 302-307
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł