n-Arc Connected Spaces release_avguosl6bbflnj3e7z4xk4cue4

by Benjamin Espinoza, Paul Gartside, Ana Mamatelashvili

Entity Metadata (schema)

abstracts[] {'sha1': '6fb4d09a4bdede00d918d7b059d03e6c19679ef1', 'content': "A space is `n-arc connected' (n-ac) if any family of no more than n-points\nare contained in an arc. For graphs the following are equivalent: (i) 7-ac,\n(ii) n-ac for all n, (iii) continuous injective image of a closed sub-interval\nof the real line, and (iv) one of a finite family of graphs. General continua\nthat are aleph_0-ac are characterized. The complexity of characterizing n-ac\ngraphs for n=2,3,4,5 is determined to be strictly higher than that of the\nstated characterization of 7-ac graphs.", 'mimetype': 'text/plain', 'lang': 'en'}
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{'index': 1, 'creator_id': None, 'creator': None, 'raw_name': 'Paul Gartside', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
{'index': 2, 'creator_id': None, 'creator': None, 'raw_name': 'Ana Mamatelashvili', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
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language en
license_slug ARXIV-1.0
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release_date 2012-09-24
release_stage submitted
release_type article
release_year 2012
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title n-Arc Connected Spaces
version v1
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work_id wf7xlllp65abrhzvznsxmq2kum
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Extra Metadata (raw JSON)

arxiv.base_id 1209.5451
arxiv.categories ['math.GN']