2006/04/22 by Linfan Mao, Mao, Linfan
Mathematics · #03C05 #05C15 #Advanced Mathematical Theories #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:03C05 #msc:05C15
paper · pdf · doi:10.48550/arxiv.math/0604480
47pages with 3 figures
arxiv created 2006/04/22 · openalex publication_date 2006/04/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n≥ 2, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This paper is the first part on characterizing multi-spaces. Various algebraic multi-spaces with structures such as those of multi-groups, multi-rings, multi-vector spaces, multi-metric spaces, multi-operation systems are discussed and new results are obtained.