JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
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1997年
/
63卷
关键词:
D O I:
10.1017/S1446788700000318
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
The theory of directed complexes is extended from free omega-categories to arbitrary omega-categories by defining presentations in which the generators are atoms and the relations are equations between molecules. Our main result relates these presentations to the more standard algebraic presentations; we also show that every omega-category has a presentation by directed complexes. The approach is similar to that used by Crans for pasting presentations.