The study of Fungi as animal and human pathogens is medical mycology.  There is also such a thing as veterinary mycology, but the types of diseases that are found in your pets often are the same as those that are found in people.  Because of the rarity of human diseases caused by fungi, most people have little, if any, knowledge of such diseases.

The diseases of warm-blooded animals caused by fungi are known as mycoses (sing.=mycosis).  Although such diseases are relatively few, the fungi that cause them have a wide host as well as geographical range.  Most of these diseases are not fatal, but once contracted, they may forever be a source of constant irritation and can lead to permanent scaring and are not a pretty sight to view.

This is another really fine lecture by George Wong, Department of Botany, University of Hawaii.