L.S.-category in a model category

Equivariant LS-category for finite group actions

In this paper we study the equivariant category of finite group actions. We introduce the basic filtration for the orbit space of the action. In terms of this filtration we give upper and lower estimates of the equivariant category. The idea for the proof is parallel to the approach in [3] for compact-Hausdorff foliations. We give examples to show that both the upper and lower bounds are realiz...

A Model Category Structure on the Category of Simplicial Multicategories

We establish a Quillen model structure on simplicial (symmetric) multicategories. It extends the model structure on simplicial categories due to J. Bergner [2]. We observe that our technique of proof enables us to prove a similar result for (symmetric) multicategories enriched over other monoidal model categories than simplicial sets. Examples include small categories, simplicial abelian groups...

The category of monoid actions in Cpo

In this paper, some categorical properties of the category ${bf Cpo}_{{bf Act}text{-}S}$ of all {cpo $S$-acts}, cpo's equipped with actions of a monoid $S$ on them, and strict continuous action-preserving maps between them is considered. In particular, we describe products and coproducts in this category, and consider monomorphisms and epimorphisms. Also, we show that the forgetful functor from...

Category of Polygroup Objects

Category Learning 1 Running head: A MODEL OF CATEGORY LEARNING SUSTAIN: A Network Model of Category Learning

SUSTAIN (Supervised and Unsupervised STrati ed Adaptive Incremental Network) is a model of how humans learn categories from examples. SUSTAIN initially assumes a simple category structure. If simple solutions prove inadequate and SUSTAIN is confronted with a surprising event (e.g., it is told that a bat is a mammal instead of a bird), SUSTAIN recruits an additional cluster to represent the surp...