# A characterisation of a continuous curve

Fundamenta Mathematicae (1925)

- Volume: 7, Issue: 1, page 302-307
- ISSN: 0016-2736

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topMoore, R.. "A characterisation of a continuous curve." Fundamenta Mathematicae 7.1 (1925): 302-307. <http://eudml.org/doc/214581>.

@article{Moore1925,

abstract = {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.},

author = {Moore, R.},

journal = {Fundamenta Mathematicae},

keywords = {zbiór spójny; krzywa ciągła; zbiór rozdzielający; topologia; continuum},

language = {eng},

number = {1},

pages = {302-307},

title = {A characterisation of a continuous curve},

url = {http://eudml.org/doc/214581},

volume = {7},

year = {1925},

}

TY - JOUR

AU - Moore, R.

TI - A characterisation of a continuous curve

JO - Fundamenta Mathematicae

PY - 1925

VL - 7

IS - 1

SP - 302

EP - 307

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/214581

ER -

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