کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658132 1633081 2016 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An obstruction to embedding 2-dimensional complexes into the 3-sphere
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
An obstruction to embedding 2-dimensional complexes into the 3-sphere
چکیده انگلیسی

We consider an embedding of a 2-dimensional CW complex into the 3-sphere, and construct its dual graph. Then we obtain a homogeneous system of linear equations from the 2-dimensional CW complex in the first homology group of the complement of the dual graph. By checking that the homogeneous system of linear equations does not have an integral solution, we show that some 2-dimensional CW complexes cannot be embedded into the 3-sphere.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 198, 1 February 2016, Pages 117–125
نویسندگان
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