- In mathematics, the Lyusternik–Schnirelmann
category (or,
Lusternik–Schnirelmann category, LS-category) of a
topological space X {\displaystyle X} is...
-
Lazar Aronovich Lyusternik (also
Lusternik, Lusternick, Ljusternik; Russian: Лазарь Аронович Люстерник; 31
December 1899 – 22 July 1981) was a Soviet...
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objects and
arrows Category (topology), in the
context of
Baire spaces Lusternik–Schnirelmann category,
sometimes called LS-category or
simply category...
- In mathematics, the
Lusternik–Schnirelmann theorem, aka
Lusternik–Schnirelmann–Borsuk
theorem or LSB theorem, says as follows. If the
sphere Sn is covered...
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Recently (see the 2006
paper by Katz and
Rudyak below), the link with the
Lusternik–Schnirelmann
category has emerged. The
existence of such a link can be...
- Melnikov, V. A. Uspensky, A. L.****ov
Calculus of
variations – L. A.
Lusternik Functional analysis – A. N. Kolmogorov, I. M.
Gelfand Probability theory...
- In
differential geometry the
theorem of the
three geodesics, also
known as Lyusternik–Schnirelmann theorem,
states that
every Riemannian manifold with...
-
introduced by
Mikhail Katz and Yuli
Rudyak in 2006, by
analogy with the
Lusternik–Schnirelmann category. The
invariant is
defined in
terms of the systoles...
-
covering Brouwer fixed-point
theorem Sperner's
lemma Knaster–Kuratowski–Mazurkiewicz
lemma Borsuk–Ulam
theorem Tucker's
lemma Lusternik–Schnirelmann theorem...
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covering Brouwer fixed-point
theorem Sperner's
lemma Knaster–Kuratowski–Mazurkiewicz
lemma Borsuk–Ulam
theorem Tucker's
lemma Lusternik–Schnirelmann theorem...
