Add to ORKGDedicated to Charles Ehresmann, on the centennial of his birth Abstract. Directed Algebraic Topology is a recent field, deeply linked with Category Theory. A 'directed space ' has directed homotopies (generally non reversible), directed homology groups (enriched with a preorder) and fundamental n-categories (replacing the fundamental n-groupoids of the classical case). Applications have been mostly developed in the theory of concurrency. Unexpected links with noncommutative geometry and the modelling of biological systems have emerged
Algebraic topology is a young subject, and its foundations are not yet firmly in place. I shall give...
Since the early part of the 20th century, topology has gradually spread to many other branches of ma...
Abstract. Topological spaces- such as classifying spaces, configuration spaces and spacetimes- often...
Directed algebraic topology [4] (see also, e.g., [7, 3, 4, 2, 1, 5, 8]) has recently emerged as a va...
Directed spaces are the objects of study within directed algebraic topology. They are characterised ...
Abstract. This work is a contribution to a recent field, Directed Algebraic Topology. Categories whi...
With motivations arising from concurrency theory within Computer Science, a new field of research, d...
The homotopy hypothesis was originally stated by Grothendieck: topological spaces should be "equival...
Directed Algebraic Topology is a recent field, deeply linked with ordinary and higher dimensional Ca...
This work is a contribution to a recent field, Directed Algebraic Topology. Categories which appear ...
International audienceDirected topology was introduced as a model of concurrent programs, where the ...
Dissertação de mestrado em MatemáticaNo âmbito da sua investigação em topologia algébrica dirigida, ...
International audienceDirected topology was introduced as a model of concurrent programs, where the ...
International audienceDirected topology was introduced as a model of concurrent programs, where the ...
We introduce a new notion of directed homology for semicubical sets. We show that it respects direct...
Algebraic topology is a young subject, and its foundations are not yet firmly in place. I shall give...
Since the early part of the 20th century, topology has gradually spread to many other branches of ma...
Abstract. Topological spaces- such as classifying spaces, configuration spaces and spacetimes- often...
Directed algebraic topology [4] (see also, e.g., [7, 3, 4, 2, 1, 5, 8]) has recently emerged as a va...
Directed spaces are the objects of study within directed algebraic topology. They are characterised ...
Abstract. This work is a contribution to a recent field, Directed Algebraic Topology. Categories whi...
With motivations arising from concurrency theory within Computer Science, a new field of research, d...
The homotopy hypothesis was originally stated by Grothendieck: topological spaces should be "equival...
Directed Algebraic Topology is a recent field, deeply linked with ordinary and higher dimensional Ca...
This work is a contribution to a recent field, Directed Algebraic Topology. Categories which appear ...
International audienceDirected topology was introduced as a model of concurrent programs, where the ...
Dissertação de mestrado em MatemáticaNo âmbito da sua investigação em topologia algébrica dirigida, ...
International audienceDirected topology was introduced as a model of concurrent programs, where the ...
International audienceDirected topology was introduced as a model of concurrent programs, where the ...
We introduce a new notion of directed homology for semicubical sets. We show that it respects direct...
Algebraic topology is a young subject, and its foundations are not yet firmly in place. I shall give...
Since the early part of the 20th century, topology has gradually spread to many other branches of ma...
Abstract. Topological spaces- such as classifying spaces, configuration spaces and spacetimes- often...