TY  - Type of reference 
TI  - Kan extendable subcategories and fibrewise topology 
AU  - Moncef Ghazel 
AB  - 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 their cartesian closedness to hold. Our methods are of general use. Here we apply them particularly to the study of the properties of certain categories of fibrewise topological spaces. In particular, we prove that the categories of fibrewise compactly generated spaces, fibrewise sequential spaces and fibrewise Alexandroff spaces are cartesian closed provided that the base space satisfies the right separation axiom. 
DO  - 10.21494/ISTE.OP.2024.1199 
JF  - Advances in Pure and Applied Mathematics 
KW  - Reflective subcategory, Reflective hull, Dense functor, Kan extension, Codensity monad, Cartesian closed category, Fibrewise topological space, Reflective subcategory, Reflective hull, Dense functor, Kan extension, Codensity monad, Cartesian closed category, Fibrewise topological space,  
L1  - https://www.openscience.fr/IMG/pdf/iste_apam24v15n4_2.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2024/09/18 
SN  - 1869-6090 
TT  - Sous-catégories extensibles au sens de Kan et la topologie par fibre 
UR  - https://www.openscience.fr/Kan-extendable-subcategories-and-fibrewise-topology 
IS  - Issue 4 (September 2024) 
VL  - 15 
ER  -