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关于双拓扑半群中的Cℵ-纤维化

On Cℵ-fibrations in bitopological semigroups.

作者信息

Dawood Suliman, Kılıçman Adem

机构信息

Department of Mathematical Sciences, Hodeidah University, Hodeidah, Yemen.

Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia.

出版信息

ScientificWorldJournal. 2014;2014:675761. doi: 10.1155/2014/675761. Epub 2014 Aug 17.

Abstract

We extend the path lifting property in homotopy theory for topological spaces to bitopological semigroups and we show and prove its role in the C(ℵ)-fibration property. We give and prove the relationship between the C(ℵ)-fibration property and an approximate fibration property. Furthermore, we study the pullback maps for C(ℵ)-fibrations.

摘要

我们将同伦理论中拓扑空间的道路提升性质推广到双拓扑半群,并展示并证明了它在C(ℵ)-纤维化性质中的作用。我们给出并证明了C(ℵ)-纤维化性质与近似纤维化性质之间的关系。此外,我们研究了C(ℵ)-纤维化的拉回映射。

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本文引用的文献

1
ON THE CONCEPT OF FIBER SPACE.论纤维空间的概念。
Proc Natl Acad Sci U S A. 1955 Nov 15;41(11):956-61. doi: 10.1073/pnas.41.11.956.

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