Subcategories of the category of stratified $(L,M)$-semiuniform convergence tower spaces

نویسندگان

1 Mudanjiang Normal University

2 Beijing Institute of Technology

3 School of Mathematics, Beijing Institute of Technology

doi
10.22111/ijfs.2023.43934.7736
چکیده

In this paper, we propose the concepts of stratified (L,M)-semiuniform convergence spaces and stratified (L,M)-semiuniform limit tower spaces. It is shown that (1) the category S(L,M)-SUC of stratified (L,M)-semiuniform convergence spaces can be embedded in the category S(L,M)- SUCT of stratified (L,M)-semiuniform convergence tower spaces as a bireflective subcategory; (2) the full subcategory of S(L,M)-SUCT, consisting of stratified (L,M)-semiuniform limit tower spaces is strongly Cartesian closed; (3) the category S(L,M)-FT of stratified (L,M)-filter tower spaces can be embedded in the category S(L,M)-SUCT as a simultaneously bireflective and bicoreflective subcategory.