Monoidal closedness of the category of stratified L-semiuniform convergence spaces

摘要

For an integral, commutative unital quantale L, we show that there exists a tensor product between stratified L-semiuniform convergence spaces and, with respect to this tensor product, that the category of stratified L-semiuniform convergence spaces and uniformly continuous maps is a symmetric monoidal category. As a result, we obtain the monoidal closedness of the category of stratified L-semiuniform convergence spaces and uniformly continuous maps. (c) 2020 Elsevier B.V. All rights reserved.