Concept

Fundamental group

Related publications (30)

Massive Open Online Labs (MOOLs): An Innovative Solution to Achieving SDGs in the Global South

Denis Gillet, Christophe Salzmann, Yves Henri Philippe Piguet

In engineering education, laboratories represent an important academic resource as they provide practical training in addition to the fundamental theories. However, the acquisition of new machinery and the maintenance of the equipment imply a large investm ...

IEEE2019

Simple and projective correspondence functors

Jacques Thévenaz, Serge Bouc

A correspondence functor is a functor from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. We determine exactly which simple correspondence functors are projective. We also determine which simple ...

2021

The Homotopy Theory Of Coalgebras Over Simplicial Comonads

Kathryn Hess Bellwald, Magdalena Kedziorek

We apply the Acyclicity Theorem of Hess, Kedziorek, Riehl, and Shipley (recently corrected by Garner, Kedziorek, and Riehl) to establishing the existence of model category structure on categories of coalgebras over comonads arising from simplicial adjuncti ...

INT PRESS BOSTON, INC2019

Neuronal morphologies: the shapes of thoughts

Lida Kanari

The mammalian brain, one of the most fascinating systems in nature, is a complex biological structure that has kept scientists busy for over a century. Many of the brain's mysteries have been unraveled due to the enormous efforts of the scientific communit ...

EPFL2018

Mechanical anisotropy of Opalinus Clay shale: a multiscale approach

Lyesse Laloui, Alessio Ferrari, Eleonora Crisci, Aldo Madaschi

The mechanical properties of Opalinus Clay shale are strongly affected by the mineralogical composition of the layers and by their spatial arrangement at centimetre to decimetre scales. For this reason, accurate laboratory characterization of the mechanica ...

LMS-EPFL2018

Localization Genus

Jérôme Scherer

Which spaces look like an n-sphere through the eyes of the n-th Postnikov section functor and the n-connected cover functor? The answer is what we call the Postnikov genus of the n-sphere. We define in fact the notion of localization genus for any homotopi ...

Univ Autonoma Barcelona2017

Optical projection tomography for rapid whole mouse brain imaging

Dimitri Nestor Alice Van De Ville, Theo Lasser, Jérôme Extermann, Paul James Marchand, Antonio Lopez, Miguel Sison, David Nguyen, Arielle Louise Planchette, Jessica Sordet, Marcin Antoni Sylwestrzak

In recent years, three-dimensional mesoscopic imaging has gained significant importance in life sciences for fundamental studies at the whole-organ level. In this manuscript, we present an optical projection tomography (OPT) method designed for imaging of ...

Optical Soc Amer2017

Creation of Faceted Polyhedral Microgels from Compressed Emulsions

Esther Amstad

Compressed monodisperse emulsions in confined space exhibit highly ordered structures. The influence of the volume fraction and the confinement geometry on the organized structures is investigated and the mechanism by which structural transition occurs is ...

Wiley-V C H Verlag Gmbh2017

Frobenius techniques in birational geometry

Zsolt Patakfalvi

This is a survey for the 2015 AMS Summer Institute on Algebraic Geometry about the Frobenius type techniques recently used extensively in positive characteristic algebraic geometry. We first explain the basic ideas through simple versions of the fundamenta ...

2017

Cellular Homotopy Excision

Kay Remo Werndli

There is a classical "duality" between homotopy and homology groups in that homotopy groups are compatible with homotopy pullbacks (every homotopy pullback gives rise to a long exact sequence in homotopy), while homology groups are compatible with homotopy ...

EPFL2016