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Revista Integración
versión impresa ISSN 0120-419X
Resumen
MACIAS, SERGIO. An introduction to homogeneous continua. Integración - UIS [online]. 2011, vol.29, n.2, pp.109-126. ISSN 0120-419X.
Abstract. A continuum is a compact, connected, metric space. A continuum X is homogeneous provided that for each pair of points x1 and x2 of X, there exists a homeomorphism h: X X such that h(x1) = x2. We present a bit of history, examples and properties of this kind of continua. We give a proof of Jones's Aposyndetic Decomposition Theorem.
Palabras clave : Circle of pseudo-arcs; continuum; Hilbert cube; Menger universal curve; homogeneous space; monotone map; Jones's set function T; pseudoarc.