On some products in pro-categories and shape categories

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Pop I.¹ 

[1] Faculty of Mathematics “Al.I.Cuza” University, 700505-Iaşi, Romania;

关键词: products in a category;    inverse systems;    pro-category;    shape category;    primary 55p55, 54c56, 18a30, 54b10, 54b35;   

DOI  :  10.2478/auom-2019-0024

来源: DOAJ

【 摘 要 】

This paper has two parts. In the first part we present a case in which we can calculate in a simple way the product of two inverse systems as object in a pro-category of a category with directed products, without counting systems at the same set of indices. In the second part, which is related to some papers of Keesling [4], Kodama [5], Mardešić [7], and Dydak-Mardešić [10], we give a sufficient condition by which a directed product of a category

【 授权许可】

Unknown