This research examines whether a low-ranking member in a high-status category (e.g., a low-end model of a high-end brand) or a high-ranking member in a low-status category (e.g., a high-end model of a low-end brand) is favored, holding the objective qualities of the items constant. Brand equity research suggests that the quality of a brand is more important than the ranking of a product within ...

This is the first part in a series of papers developing a tensor product theory for modules for a vertex operator algebra. The goal of this theory is to construct a “vertex tensor category” structure on the category of modules for a suitable vertex operator algebra. The notion of vertex tensor category is essentially a “complex analogue” of the notion of symmetric tensor category, and in fact a...

In this paper, we introduce a category of graded commutative rings with certain algebraic morphisms, to investigate the cobordism category of plumbed 3-manifolds. In particular, we define a non-associative distributive algebra that gives necessary conditions for an abstract morphism between the homologies of two plumbed 3-manifolds to be realized geometrically by a cobordism. Here we also consi...

It is conceivable that the ”whether to buy” and ”how much to buy” decisions in the purchasing process of households are influenced by the inventory process. In this paper we therefore put forward a model for consumption, where we rely on established economic theory. We incorporate this model in a model for purchase behavior. Our consumption specification, which is derived from utility maximizat...

Aspect extraction is a task to abstract the common properties of objects from corpora discussing them, such as reviews of products. Recent work on aspect extraction is leveraging the hierarchical relationship between products and their categories. However, such effort focuses on the aspects of child categories but ignores those from parent categories. Hence, we propose an LDA-based generative t...

One of the open problems in higher category theory is the systematic construction of the higher dimensional analogues of the Gray tensor product. In this paper we continue the work of [7] to adapt the machinery of globular operads [4] to this task. The resulting theory includes the Gray tensor product of 2-categories and the Crans tensor product [12] of Gray categories. Moreover much of the pre...

To make sense of the myriad new and existing products and services in the marketplace, consum­ ers construct and use categorical representations to classify, interpret, and understand information they receive about these products and services. We define a consumer category as a set of products, services, brands, or other marketing entities, states, or events that appear, to the consumer, relate...

A unique aspect of sponsored search advertising is that it allows firms to track what products consumers initially search for and what products they eventually buy after visiting their website – something that is typically hard to acquire in physical world settings. Based on a unique dataset that contains information on what keyword advertisements induced consumers to arrive on a firm’s website...

We define and study a lift of the Boardman-Vogt tensor product of operads to bimodules over operads. Introduction Let Op denote the category of symmetric operads in the monoidal category S of simplicial sets. The Boardman-Vogt tensor product [3] −⊗− : Op× Op→ Op, which endows the category Op with a symmetric monoidal structure, codifies interchanging algebraic structures. For all P,Q ∈ Op, a (P...