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hereditarily indecomposable continuum

См. также в других словарях:

  • Indecomposable continuum — Construction of the BJK continuum In point set topology, an indecomposable continuum is a continuum that is not the union of any two of its proper subcontinua. The pseudo arc is an example of a hereditarily indecomposable continuum. L. E. J.… …   Wikipedia

  • Continuum (topology) — In the mathematical field of point set topology, a continuum (pl continua) is a nonempty compact connected metric space, or less frequently, a compact connected Hausdorff topological space. Continuum theory is the branch of topology devoted to… …   Wikipedia

  • Pseudo-arc — In point set topology, the pseudo arc is the simplest nondegenerate hereditarily indecomposable continuum. It was first discovered, in 1922, by the renowned Polish topologist Bronislaw Knaster. The following definitions are, with slight… …   Wikipedia

  • Bronisław Knaster — (1893–1990) was a Polish mathematician; from 1939 university professor at Lwów, from 1945 at Wrocław. Knaster received his Ph.D. degree from Université de Paris in 1925, under the supervisionof Stefan Mazurkiewicz. These two individuals are… …   Wikipedia

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