2 citations · 3 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
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…