# A theorem on continua

Fundamenta Mathematicae (1925)

- Volume: 7, Issue: 1, page 311-313
- ISSN: 0016-2736

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topWilder, R.. "A theorem on continua." Fundamenta Mathematicae 7.1 (1925): 311-313. <http://eudml.org/doc/214583>.

@article{Wilder1925,

abstract = {The purpose of this paper is to prove Theoreme: Of two concentric circles C\_1 and C\_2, let C\_1 be the smaller. Denote by H the point set which is the sum of C\_1, C\_2, and the annular domain bounded by C\_1 and C\_2. Let M be a continuum which contains a point A interior to C\_1 and a point B exterior to C\_2. If N is any connected subset of M containing A and B, N will contain at least one point of some continuum which is a subset of M and H, and which has at least one point in common with each of the circles C\_1 and C\_2.},

author = {Wilder, R.},

journal = {Fundamenta Mathematicae},

keywords = {zbiór domknięty; zbiór spójny; krzywa ciągła; continuum},

language = {eng},

number = {1},

pages = {311-313},

title = {A theorem on continua},

url = {http://eudml.org/doc/214583},

volume = {7},

year = {1925},

}

TY - JOUR

AU - Wilder, R.

TI - A theorem on continua

JO - Fundamenta Mathematicae

PY - 1925

VL - 7

IS - 1

SP - 311

EP - 313

AB - The purpose of this paper is to prove Theoreme: Of two concentric circles C_1 and C_2, let C_1 be the smaller. Denote by H the point set which is the sum of C_1, C_2, and the annular domain bounded by C_1 and C_2. Let M be a continuum which contains a point A interior to C_1 and a point B exterior to C_2. If N is any connected subset of M containing A and B, N will contain at least one point of some continuum which is a subset of M and H, and which has at least one point in common with each of the circles C_1 and C_2.

LA - eng

KW - zbiór domknięty; zbiór spójny; krzywa ciągła; continuum

UR - http://eudml.org/doc/214583

ER -

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