SOME PROPERTIES OF LEFT PRODUCT OF TWO SUBCATEGORIES
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Keywords

coreflective and reflective subcategory
left product of two subcategories
oreflective subcategory of the topological Mackey spaces
subcategory of spaces with weak topology

How to Cite

BOTNARU, D., & T¸URCANUA. (2019). SOME PROPERTIES OF LEFT PRODUCT OF TWO SUBCATEGORIES. Acta Et Commentationes Exact and Natural Sciences, 4(2), 35-44. https://doi.org/10.36120/2587-3644.v4i2.35-44

Abstract

We study some properties of left product of two subcategories: one coreflective and one reflective in the category of local convex topological vectorial Hausdorff spaces. In this work on examined the situation generated by a structures of factorization (P 00 , I 00) with certain properties, allowing to prove that the left product of some coreflective subcategories with any P 00 - reflective subcategory is one and the same. In addition, be indicated examples of coreflectors and reflectors functors which commutes

https://doi.org/10.36120/2587-3644.v4i2.35-44
pdf (Русский)
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