A note on delay-inverse systems, I

Nikica Uglešić

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arXiv · 2504.04888

A note on delay-inverse systems, I

Nikica Uglešić

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Abstract

A generalization of an inverse system in a category was recently introduced, as well as that of the corresponding pro-category These so called the delay-inverse systems and delay-pro-category could potentially yield a new theory of (delay-) inverse systems as well as a kind of coarser abstract shape theory. However, we have proven that, whenever an indexing set has cardinality $\aleph_{n}, n\in\mathbb{N}_{0}$, the potential new theory reduces, in its essence (the classification and invariants), to the ordinary one.

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Nikica Uglešić. 2025-04-07. A note on delay-inverse systems, I. https://arxiv.org/abs/2504.04888

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