丰富的原类和 $$\boldsymbol{J}$ 形类中形态的可动性

Pub Date : 2024-04-09 DOI:10.3103/s1068362324010035

P. S. Gevorgyan, I. Pop

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引用次数: 0

摘要

摘要抽象经典原态或相干映射以及抽象经典或强形状形态的各种可动性是由同一作者在以前的一些论文[10-12]中给出的。在本文中，我们引入并研究了（统一）可移动性和（统一）共可移动性的概念，这些概念适用于属于所谓的丰富原范畴（pro^{J}\）-（\mathcal{C}\）和相应的形状范畴（Sh^{J}_{(\mathcal{C},\mathcal{D}}\）的新型原形态和形状形态，它们是由尤格利希奇（Uglešić）[27]引入的。

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Movability of Morphisms in an Enriched Pro-Category and in a $$\boldsymbol{J}$$ -Shape Category

Abstract

Various types of movability for abstract classical pro-morphisms or coherent mappings, and for abstract classical or strong shape morphisms was given by the same authors in some previous paper [10–12]. In the present paper we introduce and study the notions of (uniform) movability, and (uniform) co-movability for a new type of pro-morphisms and shape morphisms belonging to the so called enriched pro-category $pro^{J}$-$\mathcal{C}$ and to the corresponding shape category $Sh^{J}_{(\mathcal{C},\mathcal{D})}$, which were introduced by Uglešić [27].

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