Minimality in diagrams of simplicial sets
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Homotopy and Related Structures"
DOI: 10.1007/s40062-019-00239-y
Abstract: We formulate the concept of minimal fibration in the context of fibrations in the model category $${\mathbf {S}}^{\mathcal {C}}$$SC of $${\mathcal {C}}$$C-diagrams of simplicial sets, for a small index category $${\mathcal {C}}$$C. When $${\mathcal {C}}$$C… read more here.
Keywords: simplicial sets; minimality diagrams; diagrams simplicial;
Capturing complex interactions in disease ecology with simplicial sets.
Sign Up to like & getrecommendations! Published in 2022 at "Ecology letters"
DOI: 10.1111/ele.14079
Abstract: Network approaches have revolutionized the study of ecological interactions. Social, movement and ecological networks have all been integral to studying infectious disease ecology. However, conventional (dyadic) network approaches are limited in their ability to capture… read more here.
Keywords: capturing complex; ecology; complex interactions; disease ecology ... See more keywords
Homotopy theory of complete Lie algebras and Lie models of simplicial sets
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Topology"
DOI: 10.1112/topo.12073
Abstract: In a previous work, by extending the classical Quillen construction to the non-simply connected case, we have built a pair of adjoint functors, 'model' and 'realization', between the categories of simplicial sets and complete differential… read more here.
Keywords: homotopy theory; lie algebras; simplicial sets; algebras lie ... See more keywords