AbstractWe show that for every finite, simply connected CW complex X, and for any field K, depthH∗(ΩX,K)≤eK(X). In fact, we prove the same result under a weaker assumption, namely X is a simply connected CW complex of finite type with non-zero evaluation map. This is a strong improvement of the depth theorem which states that depthH∗(ΩX,K)≤cat(X)
AbstractLet X be a simply connected CW complex with finitely many cells in each degree. The first pa...
AbstractWe lift the Euler characteristic of a nearly perfect complex to a relative algebraic K-group...
We establish an upper bound for the cochain type level of the total space of a pull-back fibration. ...
AbstractLet X be a finite simply connected CW complex of dimension n. The loop space homology H∗(ΩX;...
AbstractGiven two continuous maps f:X→Y and g:W→Z between simply connected CW-complexes of finite ty...
AbstractLet X = Y × Z be a simply connected finite CW-complex. We show that the LS category of B aut...
AbstractThe main result of the paper is the following:Theorem. Suppose all the Čech cohomology group...
The depth of an augmented ring $\varepsilon \colon A\to k $ is the least $p$, or ∞, such that \begin...
AbstractThe level of a module over a differential graded algebra measures the number of steps requir...
The depth of an augmented ring ε:A→k is the least p, or ∞, such that \begin {equation*} \Ext _A^p(k ...
AbstractThe Lusternik–Schnirelmann π1-category, catπ1X, of a topological space X is the least intege...
We address Bass' question, on whether K_n(R)=K_n(R[t]) implies K_n(R)=K_n(R[t_1,t_2]). In a compani...
AbstractExamples are constructed to illustrate: (i) The LS category of a 1-connected, finite type CW...
AbstractIn this survey the cohomology rings H∗(M3;Z2) of orientable Seifert and graph manifolds are ...
AbstractLet Fι↪Ef↠B be a fibration, we focus on the relation between the homotopy invariants catE, c...
AbstractLet X be a simply connected CW complex with finitely many cells in each degree. The first pa...
AbstractWe lift the Euler characteristic of a nearly perfect complex to a relative algebraic K-group...
We establish an upper bound for the cochain type level of the total space of a pull-back fibration. ...
AbstractLet X be a finite simply connected CW complex of dimension n. The loop space homology H∗(ΩX;...
AbstractGiven two continuous maps f:X→Y and g:W→Z between simply connected CW-complexes of finite ty...
AbstractLet X = Y × Z be a simply connected finite CW-complex. We show that the LS category of B aut...
AbstractThe main result of the paper is the following:Theorem. Suppose all the Čech cohomology group...
The depth of an augmented ring $\varepsilon \colon A\to k $ is the least $p$, or ∞, such that \begin...
AbstractThe level of a module over a differential graded algebra measures the number of steps requir...
The depth of an augmented ring ε:A→k is the least p, or ∞, such that \begin {equation*} \Ext _A^p(k ...
AbstractThe Lusternik–Schnirelmann π1-category, catπ1X, of a topological space X is the least intege...
We address Bass' question, on whether K_n(R)=K_n(R[t]) implies K_n(R)=K_n(R[t_1,t_2]). In a compani...
AbstractExamples are constructed to illustrate: (i) The LS category of a 1-connected, finite type CW...
AbstractIn this survey the cohomology rings H∗(M3;Z2) of orientable Seifert and graph manifolds are ...
AbstractLet Fι↪Ef↠B be a fibration, we focus on the relation between the homotopy invariants catE, c...
AbstractLet X be a simply connected CW complex with finitely many cells in each degree. The first pa...
AbstractWe lift the Euler characteristic of a nearly perfect complex to a relative algebraic K-group...
We establish an upper bound for the cochain type level of the total space of a pull-back fibration. ...
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