Multi-Presheaves and Multi-Sheaves Constructions

A. Aljouie
A. Aljouie
Dr. E. M. Solouma
Dr. E. M. Solouma
Abdullah Aljouiee
Abdullah Aljouiee
Imam Mohammad ibn Saud Islamic University

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Multi-Presheaves and Multi-Sheaves Constructions

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Abstract

In this paper, we modify the classical theory of sheaves, in such a way that it includes applications where more than one restriction map between sections are needed, we also show how the class of multi-presheaves on a topological space may be made into a category, with suitable notion of morphisms based on a generalization of natural transformation. Several examples are given.

References

9 Cites in Article
  1. E Bredon,Glen (1997). Sheaf Theory.
  2. A Dabbour,A Ammar (1975). Direct spectrum with homomorphisms.
  3. A Dabbour,N Soultan (1992). Sheaves with many morphisms.
  4. F E Ux,Ux Unknown Title.
  5. W Hurewicz,J Dugundji,C Dowker (1948). Continuous connectivity groups in terms of limits groups.
  6. J Jardine (1987). Simplicial presheaves.
  7. Edwin Spanier (1948). Cohomology Theory for General Spaces.
  8. B Tennison (1975). Sheaf Theory.
  9. A Verschoren,N Soultan (1999). Inductive limit of multi-spectra.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

A. Aljouie. 1970. \u201cMulti-Presheaves and Multi-Sheaves Constructions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F1).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Language
en
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Multi-Presheaves and Multi-Sheaves Constructions

Dr. E. M. Solouma
Dr. E. M. Solouma
Abdullah Aljouiee
Abdullah Aljouiee

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