@article{article_421346, title={T3 and T4-Objects at p in the Category of Cauchy Spaces}, journal={Mathematical Sciences and Applications E-Notes}, volume={4}, pages={6–14}, year={2016}, DOI={10.36753/mathenot.421346}, author={Kula, Muammer}, keywords={Topological category,Cauchy space,Cauchy map,Seperation}, abstract={<p>There are various generalization of the usual topological T3 and T4- axioms to topological categories </p> <p>defined in [2] and [8]. [8] is shown that they lead to different T3 and T4 concepts, in general. In this </p> <p>paper, an explicit characterizations of each of the separation properties T3 and T4 at a point p and the </p> <p>generalized separation properties is given in the topological category of Cauchy spaces. Moreover, </p> <p>specific relationships that arise among the various Ti, i = 0; 1; 2; 3; 4, PreT2; and T2 structures at p and the </p> <p>generalized separation properties are examined in this category. Finally, we investigate the relationships </p> <p>between the generalized separation properties and the separation properties at a point p in this category. </p>}, number={1}, publisher={Murat TOSUN}