کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8906099 | 1634013 | 2018 | 34 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fixed points of n-valued maps, the fixed point property and the case of surfaces-A braid approach
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Fixed points of n-valued maps, the fixed point property and the case of surfaces-A braid approach Fixed points of n-valued maps, the fixed point property and the case of surfaces-A braid approach](/preview/png/8906099.png)
چکیده انگلیسی
We study the fixed point theory of n-valued maps of a space X using the fixed point theory of maps between X and its configuration spaces. We give some general results to decide whether an n-valued map can be deformed to a fixed point free n-valued map. In the case of surfaces, we provide an algebraic criterion in terms of the braid groups of X to study this problem. If X is either the k-dimensional ball or an even-dimensional real or complex projective space, we show that the fixed point property holds for n-valued maps for all nâ¥1, and we prove the same result for even-dimensional spheres for all nâ¥2. If X is the 2-torus, we classify the homotopy classes of 2-valued maps in terms of the braid groups of X. We do not currently have a complete characterisation of the homotopy classes of split 2-valued maps of the 2-torus that contain a fixed point free representative, but we give an infinite family of such homotopy classes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 29, Issue 1, February 2018, Pages 91-124
Journal: Indagationes Mathematicae - Volume 29, Issue 1, February 2018, Pages 91-124
نویسندگان
Daciberg Lima Gonçalves, John Guaschi,