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Categories and General Algebraic Structures with Application، جلد ۱۲، شماره ۱، صفحات ۱۲۳-۱۴۷
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| عنوان انگلیسی |
Some aspects of cosheaves on diffeological spaces |
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| چکیده انگلیسی مقاله |
We define a notion of cosheaves on diffeological spaces by cosheaves on the site of plots. This provides a framework to describe diffeological objects such as internal tangent bundles, the Poincar'{e} groupoids, and furthermore, homology theories such as cubic homology in diffeology by the language of cosheaves. We show that every cosheaf on a diffeological space induces a cosheaf in terms of the D-topological structure. We also study quasi-cosheaves, defined by pre-cosheaves which respect the colimit over covering generating families, and prove that cosheaves are quasi-cosheaves. Finally, a so-called quasi-v{C}ech homology with values in pre-cosheaves is established for diffeological spaces. |
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| نویسندگان مقاله |
Alireza Alireza Ahmadi |
Department of Math. Yazd University
Yazd, Iran
Akbar Dehghan Nezhad |
School of Mathematics, Iran University of Science and Technology,
Narmak,Tehran, 16846--13114, Iran
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| نشانی اینترنتی |
http://cgasa.sbu.ac.ir/article_87119_6b625005860bfe6a4bd5da17a099b89b.pdf |
| فایل مقاله |
اشکال در دسترسی به فایل - ./files/site1/rds_journals/386/article-386-2230375.pdf |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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