Topology Proceedings Document # baal-18
topology proceedings
Topology Proceedings 26 No. 1 (2001-2002), pp. 235-246

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Another characterization of non-separating planar continua

Gerald Jungck and Mathew Timm

It is proved that a planar continuum is nonseparating if and only if it is H-connected. A fixed-point theorem for spaces that can be written in terms of sequences of H-connected continua follows as a consequence.

Keywords: fixed-point property, local homeomorphism, H-connected, planar continuum
Mathematics Subject Classification: 54C10 (54H25 55M20 54F15)

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Topology Proceedings, Volume 26 No. 1 (2001-2002)
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Copyright © 2002 Auburn University and Topology Atlas | Date: November 1, 2002.