n-Arc connected spaces

• Autorzy: Benjamin Espinoza , Paul Gartside , Ana Mamatelashvili
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 54F15: Continua and generalizations
• 54D05: Connected and locally connected spaces (general aspects)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 130
• Numer: 2
• Strony: 221-240

Daty

wydano

2013

Twórcy

autor

Benjamin Espinoza

• Department of Mathematics, University of Pittsburgh at Greensburg, 236 Frank A. Cassell Hall, 150 Finoli Drive, Greensburg, PA 15601, U.S.A.

autor

Paul Gartside

• Department of Mathematics, University of Pittsburgh, 508 Thackeray Hall, Pittsburgh, PA 15260, U.S.A.

autor

Ana Mamatelashvili

• Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, PA 15260, U.S.A.

Identyfikatory

DOI

10.4064/cm130-2-5