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Conditional Flatness, Fiberwise Localizations, And Admissible Reflections

Publications associées (50)

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Trace maps for Mackey algebras

Baptiste Thierry Pierre Rognerud

Let G be a finite group and R be a commutative ring. The Mackey algebra μR(G) shares a lot of properties with the group algebra RG however, there are some differences. For example, the group algebra is a symmetric algebra and this is not always the case fo ...

Elsevier2015

HIGHER MORSE MODULI SPACES AND n-CATEGORIES

We generalize Cohen & Jones & Segal's flow category, whose objects are the critical points of a Morse function and whose morphisms are the Morse moduli spaces between the critical points to an n-category. The n-category construction involves repeatedly doi ...

Int Press Boston, Inc2014

Tensors, Monads And Actions

Gavin Jay Seal

We exhibit sufficient conditions for a monoidal monad T on a monoidal category C to induce a monoidal structure on the Eilenberg-Moore category C^T that represents bimorphisms. The category of actions in C^T is then shown to be monadic over the base catego ...

Mount Allison University2013

Parametrized K-theory

Nicolas Mathieu Michel

In nature, one observes that a K-theory of an object is defined in two steps. First a “structured” category is associated to the object. Second, a K-theory machine is applied to the latter category that produces an infinite loop space. We develop a general ...

2013

A Situated Approach to Systems Based Modeling of Services

Anshuman Bahadur Saxena

Situatedness refers to the imagery that conceptualization invokes. The image, as a whole, provides the context for interpreting the relevance of the categories revealed in the image. At a basic level of conceptualization, the causal relevance of an observe ...

2013

A Situated Approach to Systems Based Modeling of Services

Alain Wegmann, Anshuman Bahadur Saxena

Situatedness refers to the imagery that a conceptualization invokes. The image, as a whole, provides the context for interpreting the relevance of the categories revealed in the image. At a basic level of conceptualization, the conceptual relevance of an o ...

Ieee2013

Topological Complexity Of H-Spaces

Jérôme Scherer

Let X be a (not-necessarily homotopy-associative) H-space. We show that TCn+1(X) = cat(X-n), for n >= 1, where TCn+1(-) denotes the so-called higher topological complexity introduced by Rudyak, and cat(-) denotes the Lusternik-Schnirelmann category. We als ...

Amer Mathematical Soc2013

Normal and conormal maps in homotopy theory

Kathryn Hess Bellwald

Let M be a monoidal category endowed with a distinguished class of weak equivalences and with appropriately compatible classifying bundles for monoids and comonoids. We define and study homotopy-invariant notions of normality for maps of monoids and of con ...

Int Press Boston, Inc2012

Homotopic Descent over Monoidal Model Categories

The starting point for this project is the article of Kathryn Hess [11]. In this article, a homotopic version of monadic descent is developed. In the classical setting, one constructs a category D(𝕋) of coalgebras in the Eilenberg-Moore category of ...

EPFL2011

Feedback Linearizability and Flatness in Restricted Control Systems

Philippe Müllhaupt, Basile Graf

The loss of feedback linearizability of control systems is studied when restricted to a submanifold of the state-space. The slow approximation of singularly perturbed systems also falls into this category. We show that even if the static-feedback lineariza ...

2011