Publication date
January 2000
DOI Publisher
Published by Elsevier Ltd. ISSN
0040-9383Abstract
AbstractThe computation of classical invariants of the rational homotopy type of simply connected spaces is shown to be an NP-hard problem
AbstractThe computation of classical invariants of the rational homotopy type of simply connected spaces is shown to be an NP-hard problem
AbstractThe main result of this article is the Representation Theorem which characterizes families o...
of doctoral thesis "Computational Homotopy Theory": We consider several basic problems of algebraic ...
There are two parts to this dissertation. The first part is motivated by nothing less than a reexami...
AbstractThe computation of classical invariants of the rational homotopy type of simply connected sp...
AbstractLet S a 1-connected space such that π∗(S)⊗Q and H∗(S;Q) are both finite-dimensional. Then, u...
The sectional category of a continuous map between topological spaces is a numerical invariant of th...
We give new lower bounds for the (higher) topological complexity of a space, in terms of the Lustern...
We give new lower bounds for the (higher) topological complexity of a space, in terms of the Lustern...
Given a simplicial pair $(X,A)$, a simplicial complex $Y$, and a map $f:A \to Y$, does $f$ have an e...
AbstractThere is a general agreement that problems which are highly complex in any naive sense are a...
AbstractWe define counting classes #PR and #PC in the Blum–Shub–Smale setting of computations over ...
Let $X$ and $Y$ be finite complexes. When $Y$ is a nilpotent space, it has a rationalization $Y \to ...
We give simple upper bounds for rational sectional category and use them to compute invariants of th...
We consider several basic problems of algebraic topology, with connections to combinatorial and geom...
Let $X$ and $Y$ be finite complexes. When $Y$ is a nilpotent space, it has a rationalization $Y \to ...
AbstractThe main result of this article is the Representation Theorem which characterizes families o...
of doctoral thesis "Computational Homotopy Theory": We consider several basic problems of algebraic ...
There are two parts to this dissertation. The first part is motivated by nothing less than a reexami...
AbstractThe computation of classical invariants of the rational homotopy type of simply connected sp...
AbstractLet S a 1-connected space such that π∗(S)⊗Q and H∗(S;Q) are both finite-dimensional. Then, u...
The sectional category of a continuous map between topological spaces is a numerical invariant of th...
We give new lower bounds for the (higher) topological complexity of a space, in terms of the Lustern...
We give new lower bounds for the (higher) topological complexity of a space, in terms of the Lustern...
Given a simplicial pair $(X,A)$, a simplicial complex $Y$, and a map $f:A \to Y$, does $f$ have an e...
AbstractThere is a general agreement that problems which are highly complex in any naive sense are a...
AbstractWe define counting classes #PR and #PC in the Blum–Shub–Smale setting of computations over ...
Let $X$ and $Y$ be finite complexes. When $Y$ is a nilpotent space, it has a rationalization $Y \to ...
We give simple upper bounds for rational sectional category and use them to compute invariants of th...
We consider several basic problems of algebraic topology, with connections to combinatorial and geom...
Let $X$ and $Y$ be finite complexes. When $Y$ is a nilpotent space, it has a rationalization $Y \to ...
AbstractThe main result of this article is the Representation Theorem which characterizes families o...
of doctoral thesis "Computational Homotopy Theory": We consider several basic problems of algebraic ...
There are two parts to this dissertation. The first part is motivated by nothing less than a reexami...
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