Decomposition of completions of reloids

OpenYear of origin: 2018

Posted online: 2018-12-01 20:56:15Z by Victor Lvovich Porton17

Cite as: P-181201.10

  • General Topology
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Problem's Description

Conjecture For composable reloids $ f $ and $ g $ it holds

- $ \operatorname{Compl} ( g \circ f) = ( \operatorname{Compl} g) \circ f $ if $ f $ is a co-complete reloid;

- $ \operatorname{CoCompl} ( f \circ g) = f \circ \operatorname{CoCompl} g $ if $ f $ is a complete reloid;

- $ \operatorname{CoCompl} ( ( \operatorname{Compl} g) \circ f) = \operatorname{Compl} ( g \circ ( \operatorname{CoCompl} f)) = ( \operatorname{Compl} g) \circ ( \operatorname{CoCompl} f) $;

- $ \operatorname{Compl} ( g \circ ( \operatorname{Compl} f)) = \operatorname{Compl} ( g \circ f) $;

- $ \operatorname{CoCompl} ( ( \operatorname{CoCompl} g) \circ f) = \operatorname{CoCompl} ( g \circ f) $.

  1. BookIs an originAlgebraic General Topology. Volume 1

    year of publication: 2018fulltext


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  • Created at: 2018-12-01 20:56:15Z