کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6424585 1344250 2015 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On 4-dimensional universe for every 3-dimensional manifold
ترجمه فارسی عنوان
در جهان چهار بعدی برای هر چند فضایی سه بعدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی

A boundary-less connected oriented 4-manifold is called a universe for every 3-manifold if every closed connected oriented 3-manifold is embedded in it, and a punctured universe if every punctured 3-manifold is embedded in it, which is known to be an open 4-manifold. We introduce types 1, 2 and full universes as refined notions of a universe and a punctured universe and investigate some relationships among them. After introducing some topological invariants for every (possibly non-compact) oriented 4-manifold which we call the topological indexes, we show infinity and independence on some topological indexes of every universe.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 196, Part B, December 2015, Pages 575-593
نویسندگان
,