n-Arc Connected Spaces release_avguosl6bbflnj3e7z4xk4cue4

by Benjamin Espinoza, Paul Gartside, Ana Mamatelashvili

Released as a article .



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 sub-interval of the real line, and (iv) one of a finite family of graphs. General continua that are aleph_0-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.
In text/plain format

Archived Files and Locations

application/pdf  238.7 kB
archive.org (archive)
Read Archived PDF
Preserved and Accessible
Type  article
Stage   submitted
Date   2012-09-24
Version   v1
Language   en ?
arXiv  1209.5451v1
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: e8bd4baa-a8c0-4f35-841b-50d2cf0a9014