  The aim of this note is to stablish the topological classification of finite
period orientation reversing autohomeomorphims of a closed oriented surface
when the period is 2q, with q even. The classification of periodic orientation
reversing autohomeomorphims of a closed oriented surface has been made by Kazuo
Yokoyama in Complete classification of periodic maps on compact surfaces, Tokyo
J. Math. 15 (1992), no. 2, 247--279, and by the author in Classification of the
orientation reversing homeomorphisms of finite order of surfaces, Topology and
its applications 62 (1995) 145--162 (reference [1] of this paper) following
different approaches. In [1] there are some errors for the case considered in
this note: orientation reversing homeomorphims of period multiple of 4. The
errors have been pointed out by Weibiao Wang of the School of Mathematical
Sciences of Peking University and Chao Wang of the School of Mathematical
Sciences of East China Normal University in Shanghai. The approach to this
problem in [1] is useful and in Section 3 we obtain the classification for the
case when the orientation reversing homemorphism has period multiple of 4
following the ideas of [1]. The results in [1] has been used in references [2]
and [3]. The last Section include the corrections to these articles following
Section 3.
