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Some Characterizations of Hopf Group on Fuzzy Topological Spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 11، شماره 6، اسفند 2014، صفحه 111-121 اصل مقاله (295.75 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1751 | ||
| نویسندگان | ||
| S. Demiralp* 1؛ E. Guner2 | ||
| 1Department of Mathematics, Faculty of Sciences and Literatures, Kastamonu University, 37110, Kastamonu, Turkey | ||
| 2Department of Mathematics, Faculty of Sciences, Ankara University, 06100, Ankara, Turkey | ||
| چکیده | ||
| In this paper, some fundamental concepts are given relating to fuzzy topological spaces. Then it is shown that there is a contravariant functor from the category of the pointed fuzzy topological spaces to the category of groups and homomorphisms. Also the fuzzy topological spaces which are Hopf spaces are investigated and it is shown that a pointed fuzzy toplogical space having the same homotopy type as an Hopf group is itself an Hopf group. | ||
| کلیدواژهها | ||
| Fuzzy homotopy؛ Fuzzy pointed topological space؛ Fuzzy set؛ Hopf group؛ Hopf space | ||
| مراجع | ||
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