TY - JOUR T1 - On soft topological categories AU - Oğuz, Gülay AU - Gürsoy, M. Habil AU - İçen, İlhan PY - 2019 DA - December JF - Hacettepe Journal of Mathematics and Statistics PB - Hacettepe University WT - DergiPark SN - 2651-477X SP - 1675 EP - 1681 VL - 48 IS - 6 LA - en AB - In this paper, we introduce the notion of a soft topological category as a natural consequence of the existence of topological category and soft category. Some examples of the soft topological categories are given. The properties of soft topological category are investigated and some important results are obtained. Also, the notion of topological functor is extended to the notion of soft topological functor. Finally, we present some examples about it. KW - soft set KW - soft topological group KW - category KW - functor KW - soft category KW - soft topological category CR - [1] U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Comput. Math. Appl. 59, 3458–3463, 2010. CR - [2] H. Aktas and N. Cagman, Soft sets and soft groups, Inform. Sci. 77 (13), 2726-2735, 2007. CR - [3] A. Aygunoglu and A. Aygun, Some notes on soft topological spaces, Neural Comput. Appl. 22 (1), 113-119, 2012. CR - [4] R. Brown and T. Porter, Category Theory: an abstract setting for analogy and comparison, in: What is Category Theory? Advanced Studies in Mathematics and Logic, Polimetrica Publisher, Italy, 257–274, 2006. CR - [5] N. Cagman, S. Karatas and S. Enginoglu, Soft topology, Comput. Math. Appl. 62 (1), 351–358, 2011. CR - [6] P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (4-5), 555–562, 2003. CR - [7] W.K. Min, A Note on Soft Topological Spaces, Comput. Math. Appl. 62, 3524–3528, 2011. CR - [8] D.A. Molodtsov, Soft set theory-First results, Comput. Math. Appl. 37 (4-5), 19–31, 1999. CR - [9] H. Nurusev, Topological grupoids, M.Sc. Thesis, Gazi University, Ankara, Turkey, 1995. CR - [10] S. Oztunc, Some properties of soft categories, Int. J. Model. Optim. 6 (2),2016. CR - [11] S.K. Sardar and S. Gupta, Soft category theory-an introduction, J. Hyperstruct. 2, 118–135, 2013. CR - [12] M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl. 61 (7), 1786–1799, 2011. CR - [13] T. Shah and S. Shaheen, Soft topological groups and rings, Ann. Fuzzy Math. Inform. 7 (5), 725–743, 2014. CR - [14] O. Zahiri, Category of soft sets, An. Univ. Craiova Ser. Mat. Comput. Sci. 40 (2), 154-166, 2013. UR - https://dergipark.org.tr/en/pub/hujms/issue//656666 L1 - https://dergipark.org.tr/en/download/article-file/877302 ER -