International Journal of Contemporary Mathematical Sciences Vol. 11, 2016, no. 6, 281 - 292 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ijcms.2016.6314 Delta Generalized Pre-Closed Sets in Topological Spaces S. S. Benchalli Department of Mathematics Karnatak University, Dharwad-580 003 Karnataka, India J. B. Toranagatti 1 Department of Mathematics Karnatak University’s, Karnatak College Dharwad-580 001, Karnataka, India Copyright c  2016 S. S. Benchalli and J. B. Toranagatti. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, a new class of sets called delta generalized pre-closed sets in topological spaces is introduced and some of their basic properties are investigated. This new class of sets lies between the class of gp- closed sets and the class of gpr-closed sets. Further the notions of δgp- neighbourhood, δgp-closure and δgp-interior are introduced and their properties are discussed. Several examples are provided to illustrate the behavior of new sets. Mathematics Subject Classification: 54A05, 54A10 Keywords: pre-closed set, δ gp-closed set, δ gp-open set, δ gp-neighbourhood, δ gp-closure, δ gp-interior 1 Corresponding author