mathematical discipline of general topology, Stone–Čech compactification (or Čech–Stone compactification) is a technique for constructing a universal...

especially known for the technique known as Stone–Čech compactification (in topology) and the notion of Čech cohomology. He was the first to publish a proof...

discrete spaces is a Stone space, and the topological space underlying any profinite group is a Stone space. The Stone–Čech compactification of the natural...

of locally compact, noncompact Hausdorff spaces, unlike the Stone–Čech compactification which exists for any topological space (but provides an embedding...

unique (up to homeomorphism) "most general" Hausdorff compactification, the Stone–Čech compactification of X, denoted by βX; formally, this exhibits the category...

the Stone–Čech remainder of a topological space X, also called the corona or corona set, is the complement βX \ X of the space in its Stone–Čech compactification...

1934, he published two papers setting out what is now called Stone–Čech compactification theory. This theory grew out of his attempts to understand more...

Basic concept in set theory Stone–Čech compactification – Concept in topology Wallman compactification – A compactification of T1 topological spaces Zhu 2019...

Hausdorff compactification. Among those Hausdorff compactifications, there is a unique "most general" one, the Stone–Čech compactification β X . {\displaystyle...

topological space similar to the space of non-isolated points of the Stone–Čech compactification of the integers. A Parovicenko space is a topological space X...

cannot be done with the ordinary Euclidean metric. Let βN be the Stone–Čech compactification of the integers. A point U ∈ βN is an ultrafilter on N. A subset...

the Stone–Čech compactification of ω1 is ω1+1, just as its one-point compactification (in sharp contrast to ω, whose Stone–Čech compactification is much...

of the Banach algebra of bounded continuous functions is the Stone–Čech compactification of X {\displaystyle X} . As motivation, consider the special...

a free group on a set in algebra, or the construction of the Stone–Čech compactification of a topological space in topology. By definition, an adjunction...

classes. For normal spaces, the Wallman compactification is essentially the same as the Stone–Čech compactification. Lattice (order) Pointless topology Aleksandrov...

All compact Hausdorff spaces are normal; In particular, the Stone–Čech compactification of a Tychonoff space is normal Hausdorff; Generalizing the above...

{\displaystyle \{\infty \}} is closed but not a Gδ set. The Stone–Čech compactification of the deleted Tychonoff plank is the Tychonoff plank. Steen...

Helly space C[0,1] Box product topology on Rω Stone–Čech compactification Stone–Čech compactification of the integers Novak space Strong ultrafilter...

completely regular Hausdorff and it contains every point of its Stone–Čech compactification that is real (meaning that the quotient field at that point of...

"exterior completion", like completion of a locally convex space, or Stone–Čech compactification of a topological space. A dual construction is called refinement...

"non-degenerate" way. It is the noncommutative generalization of Stone–Čech compactification. Multiplier algebras were introduced by Busby (1968). For example...

{\displaystyle X} ; the "surrounding space" does not matter here. Stone–Čech compactification, a process that turns a completely regular Hausdorff space into...

minimal idempotent in β N {\displaystyle \beta \mathbb {N} } , the Stone–Čech compactification of the integers. (Furstenberg, 1981, see also Hindman, Strauss...

Cech (born 1947), American chemist. Vladimír Čech (1951–2013), Czech actor, presenter and. Stone–Čech compactification, mathematical technique Čech cohomology...

indiscrete space is both extremally disconnected and connected. The Stone–Čech compactification of a discrete space is extremally disconnected. The spectrum...

of a ring, Dedekind–MacNeille completion, product topologies, Stone–Čech compactification, tensor products, inverse limit and direct limit, kernels and...

S2CID 11437903. Hindman, Neil; Strauss, Dona (1998). Algebra in the Stone-Čech Compactification: Theory and Applications. New York: Walter de Gruyter. doi:10...

focuses on various areas within mathematics, including topology, Stone-Čech compactification, discrete systems, and Ramsey theory. Neil Hindman actively participated...

Mathematician Neil Hindman, with whom Strauss wrote a book on the Stone–Čech compactification of topological semigroups, has stated the following as advice...

(see the article Stone–Čech compactification for more details). Relationships between topologies on X {\displaystyle X} and the Stone topology on P {\displaystyle...