单纯同伦与同伦
Simplicial Homeology and Homeotopy
摘要：
本文定义了有限单纯复形上的同伦群、约化同伦群、上同伦群和约化上同伦群，并证明了这些群是多面体的同胚不变量。我们还定义了多面体的同伦型，它比同伦型更细，但比同胚类更粗。
英文摘要：
In this paper, we define homeology group, reduced homeology group, cohomeology group and reduced cohomeology group on finite simpicial complexes and prove that these groups are homeomorphism invariants of polyhedra. We also define homeotopy type of polyhedra which is finer than homotopy type but coarser than homeomorphism class.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
