The all-category scheme for topologically free normed modules / E. A. Gusarov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 2. P. 3-9 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

It is shown that the strict projectivity of normed modules is a special case of projectivity in a rigged category. A criterion is given for a bornological space to be a base for a free object in the corresponding category. A certain class of categories is indicated where each projective object is a retract of a free object.

Key words: projective module, free module, rigged category, bornology.

№ 2/2014