کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6425886 | 1633845 | 2013 | 41 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bucolic complexes
ترجمه فارسی عنوان
مجتمع های بوکولی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
چکیده انگلیسی
We introduce and investigate bucolic complexes, a common generalization of systolic complexes and CAT(0) cubical complexes. They are defined as simply connected prism complexes satisfying some local combinatorial conditions. We study various approaches to bucolic complexes: from graph-theoretic and topological perspectives, as well as from the point of view of geometric group theory. In particular, we characterize bucolic complexes by some properties of their 2-skeleta and 1-skeleta (that we call bucolic graphs), by which several known results are generalized. We also show that locally-finite bucolic complexes are contractible, and satisfy some nonpositive-curvature-like properties.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 243, 20 August 2013, Pages 127-167
Journal: Advances in Mathematics - Volume 243, 20 August 2013, Pages 127-167
نویسندگان
B. Brešar, J. Chalopin, V. Chepoi, T. Gologranc, D. Osajda,