In mathematics, the Lyusternik–Schnirelmann category (or, Lusternik–Schnirelmann category, LS-category) of a topological space X {\displaystyle X} is...

In mathematics, the Lusternik–Schnirelmann theorem, aka Lusternik–Schnirelmann–Borsuk theorem or LSB theorem, says as follows. If the sphere Sn is covered...

work is joint with Lazar Lyusternik. Together, they developed the Lusternik–Schnirelmann category, as it is called now, based on the previous work by Henri...

In mathematics, the Borsuk–Ulam theorem states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points...

Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f...

In differential geometry the theorem of the three geodesics, also known as Lyusternik–Schnirelmann theorem, states that every Riemannian manifold with...

result on colorings of triangulations, analogous to the Brouwer fixed point theorem, which is equivalent to it. It states that every Sperner coloring (described...

Luzin known as the Luzin affair. Lusternik–Schnirelmann category Lyusternik's generalization of the Brunn–Minkowski theorem Pavel Alexandrov et al., LAZAR'...

from Sperner's lemma and can be used to prove the Brouwer fixed-point theorem. Let Δ n − 1 {\displaystyle \Delta _{n-1}} be an ( n − 1 ) {\displaystyle...

Cohomological dimension Stallings theorem about ends of groups **Eilenberg, Samuel; Ganea, Tudor (1957). "On the Lusternik–Schnirelmann category of abstract groups"...

topological degree theory, Jordan separation theorem, Lefschetz fixed-point theorem) Morse theory and Lusternik–Schnirelmann category theory methods of complex...

of differential equations Lev Schnirelmann, developed the Lusternik–Schnirelmann category in topology and Schnirelmann density of numbers Igor Shafarevich...

cohomology Lusternik–Schnirelmann category Poincaré duality Fundamental class Applications Jordan curve theorem Brouwer fixed point theorem Invariance...

of critical points of a function on a compact manifold and the Lusternik–Schnirelmann category. After his graduate work, Takens spent a year at the Institut...

ISBN 0-12-234002-7. Eilenberg, Samuel; Ganea, Tudor (1957). "On the Lusternik-Schnirelmann category of abstract groups". Annals of Mathematics. 2nd Series...

below), the link with the Lusternik–Schnirelmann category has emerged. The existence of such a link can be thought of as a theorem in systolic topology. Every...

mathematics, Tucker's lemma is a combinatorial analog of the Borsuk–Ulam theorem, named after Albert W. Tucker. Let T be a triangulation of the closed n-dimensional...

vector spacePages displaying wikidata descriptions as a fallback Lusternik–Schnirelmann category – integer-valued homotopy invariant of spaces; the size...

conjectures to be true. Eilenberg, Samuel; Ganea, Tudor (1957). "On the Lusternik–Schnirelmann category of abstract groups". Annals of Mathematics. 2nd Ser. 65...

covering spaces, topological groups, symmetric products, and the Lusternik–Schnirelmann category. During this time, he earned his candidate thesis in topology...

1016/S0166-8641(01)00218-8. Norio Iwase (1 November 1998). "Ganea's Conjecture on Lusternik-Schnirelmann Category". ResearchGate. Tao, Terence (2015). "The Erdős discrepancy...

contributions to computer sciences Lev Schnirelmann, developed the Lusternik–Schnirelmann category in topology and Schnirelmann density of numbers Moses Schönfinkel...

intriguing link has emerged with the Lusternik–Schnirelmann category. The existence of such a link can be thought of as a theorem in systolic topology. In projective...

principle in optimal control Lev Schnirelmann, developed the Lusternik–Schnirelmann category in topology and Schnirelmann density of numbers Moses Schönfinkel...

Eilenberg, Exposition des théories de Morse et Lusternick–Schnirelmann (Morse theory, Lusternik–Schnirelmann category) Luc Gauthier, Quelques variétés usuelles...