In the mathematical field of topology, the Alexandroff extension is a way to extend a noncompact topological space by adjoining a single point in such...

exist for a given space, but arbitrary topological space admits Alexandroff extension, also called the one-point compactification when the original space...

in relaxation in variational calculus or optimization theory. Alexandroff extension – Way to extend a non-compact topological space Munkres, James R...

as the rootPages displaying wikidata descriptions as a fallback Alexandroff extension – Way to extend a non-compact topological space Riemann sphere –...

topology Subspace topology Weak topology Compactifications include: Alexandroff extension Projectively extended real line Bohr compactification Eells–Kuiper...

marketing, and other mass-communication areas. Alexandroff also oversaw the development of the extension campuses of the school, Columbia College Pan-Americano...

1999, Theorem 2.2. Speer, Timothy (16 August 2007). "A Short Study of Alexandroff Spaces". arXiv:0708.2136 [math.GN].Theorem 5 "Are minimal neighborhoods...

Note the similarity of this extension topology construction and the Alexandroff one-point compactification, in which case, having a topological space...

topology Michael's product topology Tychonoff plank Deleted Tychonoff plank Alexandroff plank Dieudonné plank Tychonoff corkscrew Deleted Tychonoff corkscrew...

cite them explicitly. The Russian topological school, founded by Paul Alexandroff and Paul Urysohn, was based heavily on Hausdorff's Principles. This is...

subspace of a compact space having at most one point more than X, by the Alexandroff one-point compactification. By the same construction, every locally compact...

1970, pp. 43–45. Hing Tong, "Solutions of problems of P. S. Alexandroff on extensions of topological spaces", Annali di Matematica Pura ed Applicata...

{\widehat {M}}:=M\cup \{\infty \}} is the one-point compactification (or Alexandroff compactification). Flow processes (also called L {\displaystyle L} -diffusions)...

set X that induce a given order ≤ as their specialization order. The Alexandroff topology of the order ≤ plays a special role: it is the finest topology...

Alexandrov's uniqueness theorem in geometry Pavel Alexandrov, author of the Alexandroff compactification and the Alexandrov topology Dmitri Anosov, developed...

Alexandrov's uniqueness theorem in geometry Pavel Alexandrov, author of the Alexandroff compactification and the Alexandrov topology Dmitri Anosov, developed...

Alexandrov's uniqueness theorem in geometry Pavel Alexandrov, author of the Alexandroff compactification and the Alexandrov topology Dmitri Anosov, developed...

of the closed compact subspaces of X, which are used to construct its Alexandroff compactification. An externology permits to introduce a notion of end...

189–98. doi:10.1586/14737140.2016.1126515. PMID 26618756. S2CID 681090. Alexandroff AB, Jackson AM, O'Donnell MA, James K (May 1999). "BCG immunotherapy...

Politics and Foreign Policy in the Age of Appeasement, 1935–1939 (1993) Alexandroff A. and Rosecrance R., "Deterrence in 1939," World Politics 29#3 (1977)...

Trust Company 402 (1902) Fuller none none 6th Cir. reversed Tucker v. Alexandroff 424 (1902) Brown Peckham Gray 3d Cir. reversed Florida Central and Peninsular...

(discrete proximity, standard proximity, metric proximity, Čech proximity, Alexandroff proximity, and Freudenthal proximity), For details, see § 2, pp. 93–94...