A characterisation of a continuous curve

• Autorzy: R. L. Moore
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

PL

zbiór spójny; krzywa ciągła; zbiór rozdzielający; topologia; continuum

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1925
• Tom: 7
• Numer: 1
• Strony: 302-307

Daty

wydano

1925

Twórcy

autor

R. L. Moore

• Austin, USA