AbstractIf a path-connected CW-complex can be covered with n + 1 self-contractible, subcomplexes, then there is a homotopy equivalent space that can be constructed from a point by iteratively attaching cones, in n steps, such that, at the step k, the respective cone is attached over a kth-order suspension
We give new lower bounds for the (higher) topological complexity of a space, in terms of the Lustern...
AbstractWe introduce a sequence of numerical homotopy invariants σicat,i∈N , which are lower bounds ...
Let X be a (not-necessarily homotopy-associative) H-space. We show that TCn+1(X) = cat (Xn), forn≥1,...
AbstractIf a path-connected CW-complex can be covered with n + 1 self-contractible, subcomplexes, th...
AbstractIn this paper, we answer a question of Ganea proving that there exists a space X, without ho...
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∨...
In his thesis we are concerned with certain numerical invariants of homotopy type akin to the Luster...
In his thesis we are concerned with certain numerical invariants of homotopy type akin to the Luster...
AbstractWe give an example of a rational space X such that its cone-length, Cl(X), is equal to Cl(X∨...
AbstractIn this paper we make explicit the relationship between the category of a connected CW compl...
AbstractExamples are constructed to illustrate: (i) The LS category of a 1-connected, finite type CW...
AbstractWe prove the so-called Lemaire-Sigrist conjecture for 1-connected Poincaré complexes, namely...
AbstractIn the course of research into the calculus of variations, a new numerical topological invar...
In our earlier paper we introduced a cone-like space SC(Z). In the present note we establish some ne...
We give new lower bounds for the (higher) topological complexity of a space, in terms of the Lustern...
AbstractWe introduce a sequence of numerical homotopy invariants σicat,i∈N , which are lower bounds ...
Let X be a (not-necessarily homotopy-associative) H-space. We show that TCn+1(X) = cat (Xn), forn≥1,...
AbstractIf a path-connected CW-complex can be covered with n + 1 self-contractible, subcomplexes, th...
AbstractIn this paper, we answer a question of Ganea proving that there exists a space X, without ho...
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∨...
In his thesis we are concerned with certain numerical invariants of homotopy type akin to the Luster...
In his thesis we are concerned with certain numerical invariants of homotopy type akin to the Luster...
AbstractWe give an example of a rational space X such that its cone-length, Cl(X), is equal to Cl(X∨...
AbstractIn this paper we make explicit the relationship between the category of a connected CW compl...
AbstractExamples are constructed to illustrate: (i) The LS category of a 1-connected, finite type CW...
AbstractWe prove the so-called Lemaire-Sigrist conjecture for 1-connected Poincaré complexes, namely...
AbstractIn the course of research into the calculus of variations, a new numerical topological invar...
In our earlier paper we introduced a cone-like space SC(Z). In the present note we establish some ne...
We give new lower bounds for the (higher) topological complexity of a space, in terms of the Lustern...
AbstractWe introduce a sequence of numerical homotopy invariants σicat,i∈N , which are lower bounds ...
Let X be a (not-necessarily homotopy-associative) H-space. We show that TCn+1(X) = cat (Xn), forn≥1,...
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