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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Moreover we obtained a Schreier internal category as a special sort of 2-category with one object in the category of topological monoids.
📌 3 Key Takeaways
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Objective & Hypothesis:The aim of this paper is to introduce the notion of Schreier internalcategories in the category of topological monoids and of topological crossed semimodules and to prove the categorical equivalence between them.
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Key Findings & Data:This is the generalization of equivalence between the category of internal categories in the category of topological groups and the category of topological crossed modules.
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Conclusion & Impact:Moreover we obtained a Schreier internal category as a special sort of 2-category with one object in the category of topological monoids.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Schreier Internal Category-Topological Crossed Semimodule
Abstract
The aim of this paper is to introduce the notion of Schreier internalcategories in the category of topological monoids and of topological crossed semimodules and to prove the categorical equivalence between them. This is the generalization of equivalence between the category of internal categories in the category of topological groups and the category of topological crossed modules. Moreover we obtained a Schreier internal category as a special sort of 2-category with one object in the category of topological monoids.
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Cite This Article
TEMEL, S. (2016). TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS. Gazi University Journal of Science, Cilt: 29 - Sayı: 4, 915–921. https://ajindex.com/articles/254586