Category of Polygroup Objects

category of polygroup objects

Free Objects in the Category of Geometries

The aim of this note is to introduce the class of free geometries purely in terms of morphisms. Several classes of well-known matroid morphisms are characterized via the new concept. 2000 Mathematics Subject Classification. 05B35.

Category effects on the processing of plane-rotated objects.

We examined the effects of plane rotations on the identification of exemplars of three semantic categories. In the first two experiments line drawings belonging to three categories (animals, inanimate objects, and vegetables) were presented at four orientations (0 degree, 60 degrees, 120 degrees, and 180 degrees of clockwise rotation). The response time was found to depend on stimulus category....

Mere Exposure Alters Category Learning of Novel Objects

We investigated how mere exposure to complex objects with correlated or uncorrelated object features affects later category learning of new objects not seen during exposure. Correlations among pre-exposed object dimensions influenced later category learning. Unlike other published studies, the collection of pre-exposed objects provided no information regarding the categories to be learned, ruli...

Moduli of Stable Objects in a Triangulated Category

We introduce the concept of strict ample sequence in a fibered triangulated category and define the stability of the objects in a triangulated category. Then we construct the moduli space of (semi) stable objects by GIT construction.

TEX profiles as objects in the category of markup languages

The mathematical notion of “category” in the context of markup languages raises the idea of widespread use of reliable automatic translations between markup languages. LTEX profiles, which are dialects of LTEX with a fixed command vocabulary where all macro expansions must be effective in that vocabulary, are suitable domains for defining translations to other profiles and, where sensible, to o...