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

Document Type : Research Paper

Authors

1 Beijing Institute of Technology

2 School of Mathematics, Beijing Institute of Technology

3 Mudanjiang Normal University

Abstract

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.

Keywords

Main Subjects

References

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Iranian Journal of Fuzzy Systems
Volume 20, Issue 4
July and August 2023
Pages 179-192

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