Topology and extensions of Mendelian inheritance

Subject Areas : General algebraic systems

H. Mirabdollahi ¹ , B. Davvaz ²

1 - Department of Mathematical Sciences, Yazd University, Yazd, Iran
2 - Department of Mathematical Sciences, Yazd University, Yazd, Iran

Received: 2023-11-29 Accepted : 2024-01-25 Published : 2024-02-14

Keywords: Impact, Influence, Discrete topology, indiscrete topology, dependence relation, alleles of a gene, complete dominant, incomplete dominant, codominant,

Abstract :

In this paper, we seek to provide an appropriate topology for a set of alleles of a gene that have arbitrary interactions between its alleles. For this purpose, we first define a suitable topology on a set of alleles between which there is a similar interaction. Next, with the help of the topology on the set of alleles of a gene, we equip the set of phenotypes of the desired gene with a suitable topology. In addition, the final section will discuss the dependence relations between the alleles of a gene.‎

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