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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 3

On h-fibrations

Mehdi Tajik0000-0002-9052-761X
Behrooz Mashayekhy0000-0001-5243-0641
Ali Pakdaman0000-0002-6174-1043
Pages
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Publication Date
2019-06-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then we construct some new categories by h-fibrations and deduce some results in these categories such as the existence of products and coproducts.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study h-fibrations, a weak homotopical version of fibrations which have weak covering homotopy property.
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Key Findings & Data:We present some homotopical analogue of the notions related to fibrations and characterize h-fibrations using them.
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Conclusion & Impact:Then we construct some new categories by h-fibrations and deduce some results in these categories such as the existence of products and coproducts.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:fiber homotopy · weak covering homotopy property · h-fibration

Abstract

In this paper, we study h-fibrations, a weak homotopical version of fibrations which have weak covering homotopy property. We present some homotopical analogue of the notions related to fibrations and characterize h-fibrations using them. Then we construct some new categories by h-fibrations and deduce some results in these categories such as the existence of products and coproducts.

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Cite This Article

Tajik, M., Mashayekhy, B., Pakdaman, A. (2019). On h-fibrations. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 3. https://ajindex.com/articles/1402788

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References (9)

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  6. P. Pavesic and R.A. Piccinini, Fibrations and their classification, Heldermann, 2013.
  7. M. Tajik, B. Mashayekhy and A. Pakdaman, Unique path lifting from homotopy point of view, Acta Math. Vietnam. 43 (2), 257-273, 2018.
  8. E.H. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966.
  9. P. Pavesic, A note on trivial fibrations, Glasnik Matematicki 46, 513-519, 2011.