Pseudo-path connected homogeneous continua |
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| Authors: | Janusz R. Prajs |
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| Affiliation: | 1. California State University Sacramento, Department of Mathematics and Statistics, 6000 J Street, Sacramento, CA 95819, USA;2. University of Opole, Institute of Mathematics, Ul. Oleska 48, 45-052 Opole, Poland |
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| Abstract: | The main result of this paper states that every homogeneous pseudo-path connected continuum is weakly chainable, or equivalently, every homogeneous continuum connected by continuous images of the pseudo-arc is itself a continuous image of the pseudo-arc. We notice that even though there exist homogeneous path connected continua that are not continuous images of an arc (Prajs, 2002), they all are continuous images of the pseudo-arc. |
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| Keywords: | primary, 54F15 secondary, 54E45, 54F50 |
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