Triplets of Tri-Homological Triangles
Ion Patrascu, Florentin Smarandache

TL;DR
This paper explores the properties of triplets of triangles that are pairwise homological, establishing new theorems to facilitate the construction of triplets that are tri-homological in pairs.
Contribution
It introduces new theorems on triplets of triangles that are pairwise homological, enabling the creation of triplets that are tri-homological in pairs.
Findings
Proved theorems related to pairwise homological triangles.
Established methods to construct tri-homological triplets.
Provided foundational results for further geometric exploration.
Abstract
In this article we prove some theorems related to the triplets of triangles, homological two by two. These theorems will be used later to build triplets of triangles two by two tri-homological.
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Taxonomy
TopicsMathematics and Applications · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Logic
