TOPOLOGICAL RING-GROUPOIDS AND LIFTINGS (RESEARCH NOTE)

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FATIH OZCAN A.; HABIL GURSOY M.; ICEN I.

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ISSN: 2588-4824

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Journal: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE Year:2006 | Volume:30 | Issue:A3 Page(s): 355-362

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Title

TOPOLOGICAL RING-GROUPOIDS AND LIFTINGS (RESEARCH NOTE)

Author(s)

FATIH OZCAN A. | HABIL GURSOY M. | ICEN I. | Issue Writer Certificate

Keywords

FUNDAMENTAL GROUPOIDS

TOPOLOGICAL COVERINGS

TOPOLOGICAL RING-GROUPOIDS

Abstract

We prove that the set of homotopy classes of the paths in a topological ring is a topological ring object (called topological ring-groupoid). Let p:X~→Xbe a covering map and let X~ be a topological ring. We define a category UTRCov(X) of coverings of X in which both X and X~ have universal coverings, and a category UTRGdCov( p1X ) of coverings of topological ring-groupoid π1X , in which X and R~0 =X~ have universal coverings, and then prove the equivalence of these categories. We also prove that the topological ring structure of a topological ring-groupoid lifts to a universal topological covering groupoid.

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APA: Copy

FATIH OZCAN, A., HABIL GURSOY, M., & ICEN, I.. (2006). TOPOLOGICAL RING-GROUPOIDS AND LIFTINGS (RESEARCH NOTE). IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 30(A3), 355-362. SID. https://sid.ir/paper/542580/en

Vancouver: Copy

FATIH OZCAN A., HABIL GURSOY M., ICEN I.. TOPOLOGICAL RING-GROUPOIDS AND LIFTINGS (RESEARCH NOTE). IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2006;30(A3):355-362. Available from: https://sid.ir/paper/542580/en

IEEE: Copy

A. FATIH OZCAN, M. HABIL GURSOY, and I. ICEN, “TOPOLOGICAL RING-GROUPOIDS AND LIFTINGS (RESEARCH NOTE),” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 30, no. A3, pp. 355–362, 2006, [Online]. Available: https://sid.ir/paper/542580/en

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