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Lusternik–Schnirelmann theorem

Known as: Lusternik-Schnirelmann theorem 
In mathematics, the Lusternik–Schnirelmann theorem, aka Lusternik–Schnirelmann–Borsuk theorem or LSB theorem, says as follows. If the sphere Sn is… 
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Papers overview

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2018
2018
Min-Max Theory for Cell Complexes
In the study of smooth functions on manifolds, min-max theory provides a mechanism for identifying critical values of a function… 
2017
2017
Lusternik-Schnirelmann category of the configuration space of complex projective space
The Lusternik-Schnirelmann category $cat(X)$ is a homotopy invariant which is a numerical bound on the number of critical points… 
2008
2008
A NOTE ON THE THEOREMS OF LUSTERNIK-SCHNIRELMANN AND BORSUK-ULAM
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2007
2007
Small values of Lusternik-Schnirelmann and systolic categories for manifolds
We prove that manifolds of Lusternik-Schnirelmann category 2 necessarily have free fundamental group. We thus settle a 1992… 
2007
2007
A NOTE ON THE THEOREMS OF LUSTERNIK–SCHNIRELMANN AND BORSUK–ULAM
Let p be a prime number and X a simply connected Hausdorff space equipped with a free Zp-action generated by fp : X → X. Let… 
2007
2007
Lusternik–Schnirelmann π1-category of non-simply connected simple Lie groups
2004
2004
On the Lusternik-Schnirelman theory of a real cohomology class
Abstract.Farber developed a Lusternik-Schnirelman theory for finite CW-complexes X and cohomology classes ξ H1(X;ℝ). This theory… 
2002
2002
Generalized Lusternik-Schnirelmann Theorem
  • Liu Yu
  • 2002
  • Corpus ID: 124333043
This paper generilized Lusternik_Schnirelmann theorem by the Brouwer degree of mapping theorem and the elementary methods of… 
1993
1993
On links whose complements have the Lusternik-Schnirelmann category one
Review
1992
Review
1992
Lusternik-Schnirel′mann category of ribbon knot complement
We showed in [8] that a locally flat knot is topologically unknotted if and only if the Lusternik-Schnirelmann category of the… 
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