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Lazar Aronovich Lyusternik (also
Lusternik, Lusternick, Ljusternik; Russian: Лазарь Аронович Люстерник; 31
December 1899 – 22 July 1981) was a Soviet...
- In mathematics, the
Lusternik–Schnirelmann theorem, aka
Lusternik–Schnirelmann–Borsuk
theorem or LSB theorem, says as follows. If the
sphere Sn is covered...
- In mathematics, the Lyusternik–Schnirelmann
category (or,
Lusternik–Schnirelmann category, LS-category) of a
topological space X {\displaystyle X} is...
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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...
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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...
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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...
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fundamental work is
joint with
Lazar Lyusternik. Together, they
developed the
Lusternik–Schnirelmann category, as it is
called now,
based on the
previous work...
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Jordan separation theorem,
Lefschetz fixed-point theorem)
Morse theory and
Lusternik–Schnirelmann
category theory methods of
complex function theory Functional...
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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...
- n>0} ,
where cat ( X ) {\displaystyle \operatorname {cat} (X)} is the
Lusternik–Schnirelmann
category of a
topological space X, and Sn is the n-dimensional...
