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pro vyhledávání: '"Grandis, Marco"'
Autor:
Grandis, Marco
Directed Algebraic Topology studies spaces equipped with a form of direction, to include models of non-reversible processes. In the present extension we also want to cover critical processes, indecomposable and unstoppable. The previous parts of this
Externí odkaz:
http://arxiv.org/abs/2409.02972
Autor:
Grandis, Marco
This note is about the smash product of pointed topological spaces, without relying on some convenient subcategory. We deal with its partial associativity properties and their connection with the function spaces, introducing a property of regular ass
Externí odkaz:
http://arxiv.org/abs/2402.12316
Autor:
Grandis, Marco
Directed Algebraic Topology studies spaces equipped with a form of direction, to include models of non-reversible processes. In the present extension we also want to cover critical processes, indecomposable and unstoppable. The first part of this ser
Externí odkaz:
http://arxiv.org/abs/2401.16290
Autor:
Grandis, Marco
Publikováno v:
Cah. Topol. Geom. Differ. Categ. 65 (2024), 3-34
This article belongs to a subject, Directed Algebraic Topology, whose general aim is including non-reversible processes in the range of topology and algebraic topology. Here, as a further step, we also want to cover "critical processes", indivisible
Externí odkaz:
http://arxiv.org/abs/2309.01991
Autor:
Paré, Robert, Grandis, Marco
We show how the notion of intercategory encompasses a wide variety of three-dimensional structures from the literature, notably duoidal categories, monoidal double categories, cubical bicategories, double bicategories and Gray categories. Variations
Externí odkaz:
http://arxiv.org/abs/1412.0212
Autor:
Grandis, Marco, Paré, Robert
We introduce a 3-dimensional categorical structure which we call intercategory. This is a kind of weak triple category with three kinds of arrows, three kinds of 2-dimensional cells and one kind of 3-dimensional cells. In one dimension, the compositi
Externí odkaz:
http://arxiv.org/abs/1412.0144