Spreads and unitals in topological translation planes

In this study, spreads and unitals in topological translation planes have been examined. In the first chapter introduction and in the second chapter all the fundamental notions necessary for this study are given. In the third chapter stable planes, topological translation planes, linear planes, n-dimensional affine and projective spaces are considered. In the fourth chapter, self-orthogonal spreads are defined and then its classical and non-classical examples are given. Also in this chapter spreads in Q = (Q, ©, ©) quaternions space are denned. In last chapter; the point sets named unitals, ovoids and shells are considered with relations between themselves. KEY WORDS : Topological Translation Plane, Spread, Unital, Ovoid, Con vex Set