indecomposability

indecomposability
The condition of being indecomposable

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  • 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

  • Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

  • Injective function — Injective redirects here. For injective modules, see Injective module. An injective function (is not a bijection) …   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

  • Constructivist analysis — In mathematics, constructive analysis is mathematical analysis done according to the principles of constructivist mathematics.This contrasts with classical analysis , which (in this context) simply means analysis done according to the (ordinary)… …   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

  • 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

  • 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 distribution — In probability theory, an indecomposable distribution is a probability distribution that cannot be represented as the distribution of the sum of two or more non constant independent random variables: Z ≠ X + Y. If it can be so …   Wikipedia

  • Pseudo-order — In constructive mathematics, a pseudo order is a constructive generalisation of a linear order to the continuous case. The usual trichotomy law does not hold in the constructive continuum because of its indecomposability, so this condition is… …   Wikipedia

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