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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

  • Indecomposable — has multiple meanings in the field of mathematics:* indecomposable module, in algebra * indecomposable distribution, in probability * indecomposable continuum, in topology * indecomposability, in constructive mathematics …   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

  • Continuum (mathematics) — In mathematics, the word continuum has at least two distinct meanings, outlined in the sections below. For other uses see Continuum.Ordered setThe term the continuum sometimes denotes the real line. Somewhat more generally a continuum is a… …   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

  • Indecomposability — In constructive mathematics, indecomposability or indivisibility ( de. unzerlegbarkeit, from the adjective unzerlegbar ) is the principle that the continuum cannot be partitioned into two nonempty pieces. This principle was established by Brouwer …   Wikipedia

  • List of mathematics articles (I) — NOTOC Ia IA automorphism ICER Icosagon Icosahedral 120 cell Icosahedral prism Icosahedral symmetry Icosahedron Icosian Calculus Icosian game Icosidodecadodecahedron Icosidodecahedron Icositetrachoric honeycomb Icositruncated dodecadodecahedron… …   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

  • Solenoid (mathematics) — This page discusses a class of topological groups. For the wrapped loop of wire, see Solenoid. The Smale Williams solenoid. In mathematics, a solenoid is a compact connected topological space (i.e. a continuum) that may be obtained as the inverse …   Wikipedia

  • Edwin E. Moise — Infobox Scientist box width = name = Edwin Evariste Moise image size = 150px caption = birth date = birth date|1918|12|22 birth place = New Orleans, Louisiana death date = dda|1998|12|18|1918|12|22 death place = New York, New York fields =… …   Wikipedia

  • Dyadic rational — Dyadic rationals in the interval from 0 to 1. In mathematics, a dyadic fraction or dyadic rational is a rational number whose denominator is a power of two, i.e., a number of the form a/2b where a is an integer and b is a natural number; for… …   Wikipedia

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