Document Type : Research Paper

Authors

• Akbar Dehghanezhad ¹
• Saman Shahriyari ²

¹ School of Mathematics‎, ‎Iran University of Science and Technology,‎ ‎Narmak‎, ‎16846-13114‎, ‎Tehran‎, ‎Iran

² Department of Mathematics‎, ‎Yazd University‎, ‎89195-741‎, ‎Yazd‎, ‎Iran

Abstract

‎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.

Keywords

• ‎$Phi$-reflexive property‎
• ‎differential space‎
• ‎diffeology‎
• ‎$mathcal{P}$-tangent bundle‎
• ‎$mathcal{F}$-tangent bundle