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On the $\Phi$-reflexive property of $(X,\Upsilon)$-structures | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 39، دوره 12، شماره 1، مرداد 2021، صفحه 509-519 اصل مقاله (431.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4829 | ||
| نویسندگان | ||
| Akbar Dehghanezhad* 1؛ Saman Shahriyari2 | ||
| 1School of Mathematics, Iran University of Science and Technology, Narmak, 16846-13114, Tehran, Iran | ||
| 2Department of Mathematics, Yazd University, 89195-741, Yazd, Iran | ||
| تاریخ دریافت: 28 آذر 1396، تاریخ بازنگری: 15 آذر 1398، تاریخ پذیرش: 12 اسفند 1398 | ||
| چکیده | ||
| We use $\Phi$-reflexive property on some geometrical structures(Fr\"{o}licher spaces, Sikorski spaces and diffeological spaces) to prove that some results on $(X,\Upsilon)$-structures. Finally, we introduce $\mathcal{P}$-tangent bundles, $\mathcal{F}$-tangent bundles and obtain a relation between these bundles and $\Phi$-reflexive property. | ||
| کلیدواژه‌ها | ||
| $\Phi$-reflexive property؛ differential space؛ diffeology؛ $\mathcal{P}$-tangent bundle؛ $\mathcal{F}$-tangent bundle | ||
| مراجع | ||
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[3] A. Dehghan Nezhad and S. Shahriyari, Some results on pseudomonoids, J. Adv. Stud. Topol. 6(2) (2015) 43–55.
[4] A. Dehghan Nezhad and S. Shahriyari, Some results on Φ-reflexive property, The 46th Annual Iran. Math. Conf. August 25-28, 2015 in Yazd, Iran.
[5] A. Dehghan Nezhad and S. Shahriyari, Some results on (X, Γ)-structures, Submitted.
[6] A. Dehghan Nezhad and S. Shahriyari, Tangent bundles and Θ-maps on (X, Υ)-structures, Submitted.
[7] A. Frolicher, Smooth Structures, Category theory, Springer Berlin Heidelberg, (1982) 69–81.
[8] P. Iglesias-Zemmour, Diffeology, American Mathematical Soc., 2013.
[9] B. O’Neill, Semi-Riemannian Geometry With Applications to Relativity, Academic Press, 1983.
[10] W. Thurston, Three-Dimensional Geometry and Topology, Vol. 1. Edited by Silvio Levy. Princeton Mathematical Series, 35. Princeton University Press, Princeton, NJ, 1997.
[11] R. Sikorski, Differential modules, Colloq. Math. 24 (1971) 45–79. | ||
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