Abstract
In [8] we introduced the notion of a k-almost-quasifibration. In this article we update this definition and call it a k-c-quasifibration. This will help us to relate it to quasifibrations. We study some basic properties of \(k\)-\(c\)-quasifibrations. We also generalize a series of results on quasifibrations ( [1]) to \(k\)-\(c\)-quasifibrations giving criteria for a map to be a \(k\)-\(c\)-quasifibration.
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References
Dold, A., Thom, R. Quasifaserungen und unendliche symmetrische Produkte. Ann. of Math., Second Series 67, 239-281 (1958)
Hatcher, A.: Algebraic Topology. Cambridge University Press. First south Asian edition. (2003)
Hempel, J.: \(3\)-manifolds. Ann. of Math. Studies 86. Princeton University Press, Princeton, N.J. (1976)
May, J.P.: Weak equivalences and quasifibrations. In: Groups of Self-equivalences and Related Topics, pp. 91-101. Lecture Notes in Mathematics, 1425. Eds. A. Dold, B. Eckmann and F. Takens. Springer-Verlag, Proceedings, Montreal (1988)
I. Moerdijk, Orbifolds as groupoids: an introduction, Orbifolds in mathematics and physics (Madison, WI, 2001), 205-222, Contemp. Math., 310, Amer. Math. Soc., Providence, RI, (2002)
Roushon, S.K.: Configuration Lie groupoids and orbifold braid groups. Bull. Sci. math. 171 (2021) 35p. https://doi.org/10.1016/j.bulsci.2021.103028
Roushon, S.K.: Quasifibrations in configuration Lie groupoids and orbifold braid groups. Preprint. https://doi.org/10.48550/arXiv:2106.08110
Roushon, S.K.: Almost-quasifibrations and fundamental groups of orbit configuration spaces. https://doi.org/10.48550/arXiv:2111.06159
P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc. 15 no. 5, 401-487 (1983)
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Communicated by Indranil Biswas.
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Roushon, S.K. k-almost-quasifibrations. Indian J Pure Appl Math 54, 848–857 (2023). https://doi.org/10.1007/s13226-022-00303-z
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DOI: https://doi.org/10.1007/s13226-022-00303-z