(Q108267725)

English

On the Lusternik-Schnirelmann Category

scientific article published in 1941

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Mathematics Genealogy Project

title

On the Lusternik-Schnirelmann Category (English)

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main subject

Lusternik–Schnirelmann category

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1

Ralph H. Fox

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language of work or name

English

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publication date

1939

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Mathematics Genealogy Project

full work available at URL

https://www.jstor.org/stable/pdf/1968905.pdf

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published in

Annals of Mathematics

1941

42

2

333-370

38

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reference URL

https://www.jstor.org/stable/1968905

maintained by WikiProject

WikiProject Mathematics

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cites work

An Example of a Simply Connected Surface Bounding a Region which is not Simply Connected

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On the sum and the combinatorial product of absolute retractions

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Lattices and their applications

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Drei Sätze über die n-dimensionale euklidische Sphäre

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On indecomposable absolute retracts

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On the decomposition of regular curves into dendrites

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Some singular retracts

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Contribution to the topology of polytopes

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About the phenomenon of indecomposability in the polyhedron topology

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About the Lusternik-Schnirelmann Category

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On the decomposition of n-dimensional polyhedra into contractile polyhedra in itself

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On the division of a sphere into three sets

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On some topological properties of the sphere surface

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On the decomposition theorem of dimension theory

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On a topological theorem of L. Schnirelmann

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On multicoherent spaces I

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A theorem on homotopy

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On small-slice transformations

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Free covers and free functions

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Contributions to the topology of deformations. I: Higher-dimensional homotopy groups

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Contributions to the topology of deformations. II: homotopy and homology groups

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Contributions to the topology of deformations. III: Classes and types of homology of mappings

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Contributions to the topology of deformations. IV. Aspherical spaces.

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On the Connection between the Fundamental Groups of Some Related Spaces

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On locally connected and peanean spaces in dimensions n

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On Locally Connected and Related Sets

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On Locally Connected Sets and Retracts

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On a topological principle in analysis

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On the problem of three closed geodesics on surfaces of genus 0

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Topological foundations of general eigenvalue theory

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About a new combinatorial invariant

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On the imbedding of subsets of a metric space in Jordan continua

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Lower limit for the number of critical values of a function, given on a manifold

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On the minimal number of critical points of a real function defined on a manifold

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The theory of invariants, which can be used to determine the lower limit of the number of critical points of a continuous function that is determined on a manifold

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The length of a manifold and its properties

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On Homotopy and Extension of Mappings

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Identifiers

DOI

10.2307/1968905

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Google Scholar paper ID

13850096982561987964

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JSTOR article ID

1968905

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Mathematical Reviews ID

4108

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Semantic Scholar corpus ID

123239375

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Semantic Scholar paper ID

2c3e3052d37a4f9d6c3bcb037482813695747be6

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zbMATH Open document ID

0027.43104

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67.0741.02

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(Q108267725)

On the Lusternik-Schnirelmann Category

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