A theorem on continua

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

Abstrakty

EN

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.

Słowa kluczowe

PL

zbiór domknięty; zbiór spójny; krzywa ciągła; continuum

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1925
• Tom: 7
• Numer: 1
• Strony: 311-313

Daty

wydano

1925

Twórcy

autor

R. L. Wilder

• Austin, Texas, USA