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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 3

On h-fibrations

Mehdi TAJİK
Behrooz MASHAYEKHY
Ali PAKDAMAN
Sayfa
732–742
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we study h-fibrations, a weak homotopical version of fibrations which have weak covering homotopy property.
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Temel Bulgular & Veri:We present some homotopical analogue of the notions related to fibrations and characterize h-fibrations using them.
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Sonuç & Katkı:Then we construct some new categories by h-fibrations and deduce some results in these categories such as the existence of products and coproducts.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

TAJİK, M., MASHAYEKHY, B., PAKDAMAN, A. (2022). On h-fibrations. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 3, 732–742. https://ajindex.com/articles/529718

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Kaynakça (7)

  1. A. Dold, Partitions of unity in the theory of fibrations, Ann. Math. 78, 223-255, 1963.
  2. E. Fadell, On fibre spaces, Trans. Amer. Math. Soc 90, 1-14, 1959.
  3. K. Fuchs, Homotopiefaserungen, Dissertation, Universitat Saarbrucken. A. Hatcher, Algebraic topology, Cambridge University Press, 2001.
  4. P. Pavesic, A note on trivial fibrations, Glasnik Matematicki 46, 513-519, 2011.
  5. P. Pavesic and R.A. Piccinini, Fibrations and their classification, Heldermann, 2013.
  6. M. Tajik, B. Mashayekhy and A. Pakdaman, Unique path lifting from homotopy point of view, Acta Math. Vietnam. 43 (2), 257-273, 2018.
  7. E.H. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966.