On the $\Phi$-reflexive property of $(X,\Upsilon)$-structures

نویسندگان
Shahriyari, Saman ID 1
Dehghanezhad, Akbar ID 2

1 Department of Mathematics‎, ‎Yazd University‎, ‎89195-741‎, ‎Yazd‎, ‎Iran

2 School of Mathematics‎, ‎Iran University of Science and Technology,‎ ‎Narmak‎, ‎16846-13114‎, ‎Tehran‎, ‎Iran

doi
10.22075/ijnaa.2021.4829
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