AbstractWe prove the so-called Lemaire-Sigrist conjecture for 1-connected Poincaré complexes, namely that for such spaces rational Lusternik-Schnirelmann category equals rational cone length. We also prove that the attachment of the top cell in such a space raises rational L-S category by one
In [BG], it is proved that the Whitehead length of a space Z is less than or equal to the nilpotency...
This proceedings volume centers on new developments in rational homotopy and on their influence on a...
AbstractLet X = Y × Z be a simply connected finite CW-complex. We show that the LS category of B aut...
AbstractWe prove the so-called Lemaire-Sigrist conjecture for 1-connected Poincaré complexes, namely...
AbstractWe give an example of a rational space X such that its cone-length, Cl(X), is equal to Cl(X∨...
AbstractWe give an example of a rational space X such that its cone-length, Cl(X), is equal to Cl(X∨...
Félix, Halperin, and Lemaire have shown that the rational module category Mcat and the rational Toom...
Félix, Halperin, and Lemaire have shown that the rational module category Mcat and the rational Toom...
AbstractWe give a new characterisation of rational LS category, cat0(X), from which two theorems fol...
AbstractWe give a new characterisation of rational LS category, cat0(X), from which two theorems fol...
AbstractIf a path-connected CW-complex can be covered with n + 1 self-contractible, subcomplexes, th...
We give a new characterisation of rational LS category, cat(o)(X), from which two theorems follow. T...
that catE • cat F+cat B(cat F+1), where cat S denotes the Lusternik-Schnirelmann category of S. We g...
The sectional category of a continuous map between topological spaces is a numerical invariant of th...
If X is a simply connected space of finite type, then the rational homotopy groups of the based loop...
In [BG], it is proved that the Whitehead length of a space Z is less than or equal to the nilpotency...
This proceedings volume centers on new developments in rational homotopy and on their influence on a...
AbstractLet X = Y × Z be a simply connected finite CW-complex. We show that the LS category of B aut...
AbstractWe prove the so-called Lemaire-Sigrist conjecture for 1-connected Poincaré complexes, namely...
AbstractWe give an example of a rational space X such that its cone-length, Cl(X), is equal to Cl(X∨...
AbstractWe give an example of a rational space X such that its cone-length, Cl(X), is equal to Cl(X∨...
Félix, Halperin, and Lemaire have shown that the rational module category Mcat and the rational Toom...
Félix, Halperin, and Lemaire have shown that the rational module category Mcat and the rational Toom...
AbstractWe give a new characterisation of rational LS category, cat0(X), from which two theorems fol...
AbstractWe give a new characterisation of rational LS category, cat0(X), from which two theorems fol...
AbstractIf a path-connected CW-complex can be covered with n + 1 self-contractible, subcomplexes, th...
We give a new characterisation of rational LS category, cat(o)(X), from which two theorems follow. T...
that catE • cat F+cat B(cat F+1), where cat S denotes the Lusternik-Schnirelmann category of S. We g...
The sectional category of a continuous map between topological spaces is a numerical invariant of th...
If X is a simply connected space of finite type, then the rational homotopy groups of the based loop...
In [BG], it is proved that the Whitehead length of a space Z is less than or equal to the nilpotency...
This proceedings volume centers on new developments in rational homotopy and on their influence on a...
AbstractLet X = Y × Z be a simply connected finite CW-complex. We show that the LS category of B aut...
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