In point-set topology, an indecomposable continuum is a continuum that is indecomposable, i.e. that cannot be expressed as the union of any two of its...

mathematics: Indecomposable module, in algebra Indecomposable distribution, in probability Indecomposable continuum, in topology Indecomposability (intuitionistic...

that h(x) = y. A Peano continuum is a continuum that is locally connected at each point. An indecomposable continuum is a continuum that cannot be represented...

simplest nondegenerate hereditarily indecomposable continuum. The pseudo-arc is an arc-like homogeneous continuum, and played a central role in the classification...

composant of a point p in a continuum A is the union of all proper subcontinua of A that contain p. If a continuum is indecomposable, then its composants are...

analysis, indecomposability or indivisibility (German: Unzerlegbarkeit, from the adjective unzerlegbar) is the principle that the continuum cannot be...

Euclidean space R3. A solenoid is a one-dimensional homogeneous indecomposable continuum that has the structure of an abelian compact topological group...

(1910) of an indecomposable continuum, and in fact it is possible for the common boundary of the three sets to be an indecomposable continuum. The Lakes...

of definition of functions". Brouwer's intuitionistic treatment of the continuum, with an extended commentary. 1927. David Hilbert: "The foundations of...

dissertation was titled "An indecomposable continuum which is homeomorphic to each of its nondegenerate subcontinua," a topic in continuum theory, and was written...

emphasized. The Siegel disc is either unbounded or its boundary is an indecomposable continuum. Filled Julia set for f c ( z ) = z ∗ z + c {\displaystyle f_{c}(z)=z*z+c}...

in 1922 of the hereditarily indecomposable continuum or pseudo-arc and of the Knaster continuum, or buckethandle continuum. Together with his teacher Hugo...

measure Helmholtz decomposition, decomposition of a vector field Indecomposable continuum Lebesgue's decomposition theorem, decomposition of a measure Lie...

this product. It is an example of a protorus, a solenoid, and an indecomposable continuum. Because they are a dense subset of the real numbers, the dyadic...

ribs Bucket-handle fracture, a child bone fracture B-J-K continuum, an Indecomposable continuum Bucket handle tear, tear in the meniscus of the knee, often...

matter, space, time, money, or abstract mathematical objects such as the continuum. The origin of the idea in the Western tradition can be traced to the...

by Borsuk and Mazurkiewicz in their paper Sur les rétractes absolus indécomposables, C.R.. Acad. Sci. Paris 199 (1934), 110-112). There is some disagreement...

multiplication of ordinals). Similarly, one can consider additively indecomposable ordinals (meaning a nonzero ordinal that is not the sum of two strictly...

uncountable cardinal that is a (weak or strong) limit indecomposable ordinal An indecomposable ordinal is a nonzero ordinal that is not the sum of two...

set in the reals cannot have a left inverse, as it would violate indecomposability, by giving a retraction of the real line to the set {0,1}. Williams...

symmetric, left or right Euclidean, or transitive. Constructive analysis Indecomposability (intuitionistic logic) Linear order For symmetric R, semiorder axiom...

Hilbert space. An infinite-dimensional Banach space is hereditarily indecomposable when no subspace of it can be isomorphic to the direct sum of two infinite-dimensional...

or ⊥ {\displaystyle \bot } . Also the real line may be taken to be indecomposable in this sense. Undecidability of disjunctions also affects the claims...