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n-Arc connected spaces

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Espinoza B., Gartside P., Mamatelashvili A.

Colloquium Mathematicum

2013

tom 130

nr 2

221-240

A space is n-arc connected (n-ac) if any family of no more than n-points are contained in an arc. For graphs the following are equivalent: (i) 7-ac, (ii) n-ac for all n, (iii) continuous injective image of a closed subinterval of the real line, and (iv) one of a finite family of graphs. General continua that are ℵ₀-ac are characterized. The complexity of characterizing n-ac graphs for n = 2,3,4,5 is determined to be strictly higher than that of the stated characterization of 7-ac graphs.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Espinoza B.

1 Gartside P.

1 Mamatelashvili A.

1 2013

Wyniki wyszukiwania

n-Arc connected spaces