Fans with the Property of Kelley
Fans having the property of Kelley are characterized as the limits of inverse sequences of finite fans with confluent bonding mappings and as smooth fans for which the set of their end-points together with the top is closed. Also a characterization is obtained of smooth fans with the set of end-points closed as the limits of inverse sequences of finite fans with open bonding mappings.
J. J. Charatonik and W. J. Charatonik, "Fans with the Property of Kelley," Topology and its Applications, Elsevier, Jan 1988.
The definitive version is available at https://doi.org/10.1016/0166-8641(88)90059-4
Mathematics and Statistics
Keywords and Phrases
fan; property of Kelley; smooth; open; inverse limit; confluent; end-point
Article - Journal
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