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Pseudo-path connected homogeneous continua

Janusz R. PrajsJanusz R. Prajs

subject

Arc (geometry)Connected spaceContinuum (topology)HomogeneousGeneral MathematicsMathematics::General TopologyGeometryImage (mathematics)Mathematics

description

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.

yearjournalcountryeditionlanguage
2015-03-01Advances in Mathematics
10.1016/j.aim.2014.12.029http://www.sciencedirect.com/science/article/pii/S000187081500002X