Abstract
This paper begins with Husserl's phenomenological distinction between formal ontology (analytic theory of general objects) and "material" regional ontologies (types of "essences" of objects which prescribe "synthetic a priori" rules). It then shows that, as far as its "ontological design" is concerned, transcendental phenomenology can be seen as an "object-oriented" epistemology (opposed to the classical "procedural" epistemology). The paper also analyses the morphological example, which constitutes the core of Husserl's third Logical Investigation, of the unilateral relation of foundation between sense qualities and spatio-temporal extension. It gives a geometrical model using the geometrical concepts of fibration, sheaf and topos.
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