کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516612 | 1633125 | 2005 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Absolute extensors and absolute neighborhood extensors in asymptotic categories
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Absolute extensors and absolute neighborhood extensors in asymptotic categories Absolute extensors and absolute neighborhood extensors in asymptotic categories](/preview/png/9516612.png)
چکیده انگلیسی
This paper deals with extending maps in asymptotic categories, i.e., in categories consisting of metric spaces and asymptotically Lipschitz coarsely proper maps. We demonstrate certain examples of absolute extensors and absolute neighborhood extensors. We give some conditions under which a version of Borsuk's homotopy extension theorem holds in these categories, and in answer to a problem posed by Dranishnikov in [Russian Math. Surveys 55 (2000) 1085] we show the failure of a general homotopy extension theorem. Finally, we show that a pair of an Hadamard space and its convex subspace has the homotopy extension property.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 150, Issues 1â3, 14 May 2005, Pages 59-78
Journal: Topology and its Applications - Volume 150, Issues 1â3, 14 May 2005, Pages 59-78
نویسندگان
Marcin Sawicki,