2 citations · 3 across the 6 of their papers we have counts for
7 papers
Geodesic Models for Loop Spaces on Riemannian Manifolds
Abbas Bahri, Fred Cohen, Moncef Ghazel +1
A topological group, defined in terms of ``composable minimal geodesics'' is constructed and shown to be homotopy equivalent to the pointed loop space of a path-connected, simply c…
A convenient category of locales
Moncef Ghazel, Inès Saihi, Walid Taamallah
The notion of Kan extendable subcategories was initially introduced to define the category of compactly generated fibrewise topological spaces over a T1 base space and to establish…
Kan extendable subcategories and fibrewise topology
Moncef Ghazel
We use pointwise Kan extensions to generate new subcategories out of old ones. We investigate the properties of these newly produced categories and give sufficient conditions for t…
Thin Loop Groups
Moncef Ghazel, Sadok Kallel
We verify that for a finite simplicial complex and for piecewise linear loops on , the "thin" loop space is a topological group of the same homotopy type as the space of con…
On the cell structure of flag manifolds
Moncef Ghazel
We here define a cell structure for real, complex and quaternionic flag manifolds in a unified way. Our method is geometric in nature and is inspired from a method due to Milnor an…
Reedy diagrams in V-model categories
Moncef Ghazel, Fethi Kadhi
We study the category of Reedy diagrams in a $\mm$-model category. Explicitly, we show that if K is a small category, V is a closed symmetric monoidal category and C is a closed V-…
Reedy diagrams in symmetric monoidal model categories
Moncef Ghazel, Fethi Kadhi
Given a small category and a closed symmetric monoidal category $\mm$, we show that the diagram category $\mm^I$ with the objectwise product is a closed symmetric monoidal cate…