# Concerning the common boundary of two domains

Fundamenta Mathematicae (1924)

- Volume: 6, Issue: 1, page 203-213
- ISSN: 0016-2736

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topMoore, R.. "Concerning the common boundary of two domains." Fundamenta Mathematicae 6.1 (1924): 203-213. <http://eudml.org/doc/214274>.

@article{Moore1924,

abstract = {The main purpose of the present paper is to show that if a bounded continuum has more then one prime part and no one of its prime parts separates the plane then in order that it should have just two complementary domains and be the complete boundary of each of them it is necessary and sufficient that it should remain connected in the weak sense on the removal of any one of its connected proper subsets which is closed.},

author = {Moore, R.},

journal = {Fundamenta Mathematicae},

keywords = {zbiór domknięty; spójność "im kleinen"; krzywa ciągła; continuum},

language = {eng},

number = {1},

pages = {203-213},

title = {Concerning the common boundary of two domains},

url = {http://eudml.org/doc/214274},

volume = {6},

year = {1924},

}

TY - JOUR

AU - Moore, R.

TI - Concerning the common boundary of two domains

JO - Fundamenta Mathematicae

PY - 1924

VL - 6

IS - 1

SP - 203

EP - 213

AB - The main purpose of the present paper is to show that if a bounded continuum has more then one prime part and no one of its prime parts separates the plane then in order that it should have just two complementary domains and be the complete boundary of each of them it is necessary and sufficient that it should remain connected in the weak sense on the removal of any one of its connected proper subsets which is closed.

LA - eng

KW - zbiór domknięty; spójność "im kleinen"; krzywa ciągła; continuum

UR - http://eudml.org/doc/214274

ER -

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