In 2x2 games we often solve them by writing arrows between outcomes in the matrix. I make this procedure precise and generalize it to all strategic games using some very basic category theory. I define a strategic game in categorical form in which outcomes are objects and preferences are arrows. A subcategory is formed by exclusion of arrows between outcomes that can not be reached unilaterally...

Results: Total laryngectomy was performed in 14/71 patients. Involvement of anterior commisure in local spreading of the cancer was found in 24/71 patients; total laryngectomy was performed in 13/24 and reconstructive surgery in 11/24. Selective resection of neck was done in 49 patients and metastases were found in 2 of these patients. Out of fifty-seven patients who had reconstructive laryngea...

Using one of Wodzicki's examples of H-unital algebras [14] we exhibit a ring whose derived category contains a smashing subcategory which is not generated by small objects. This disproves the generalization to arbitrary triangulated categories of a conjecture due 1. Statement of the conjecture We refer to [7] for a nicely written analysis of the following setup: Let S be a triangulated category...

BACKGROUND The role of repeat fine-needle aspiration (RFNA) or core needle biopsy (CNB) has not been established in nodules categorized as atypia/follicular lesion of undetermined significance (AUS/FLUS). OBJECTIVE The purpose of this study was to retrospectively determine whether CNB is more useful for management decisions than RFNA at each subcategory of AUS/FLUS nodules. METHODS This stu...

The subcategory of a category and product of categories is defined. The inclusion functor is the injection (inclusion) map E ↪→ which sends each object and each arrow of a Subcategory E of a category C to itself (in C). The inclusion functor is faithful. Full subcategories of C, that is, those subcategories E of C such that HomE(a,b) = HomC(b,b) for any objects a,b of E, are defined. A subcateg...

the aim of the present paper is to define and study (ic)$lm$-fuzzytopological spaces, a generalization of (weakly) induced $lm$-fuzzytopological spaces. we discuss the basic properties of(ic)$lm$-fuzzy topological spaces, and introduce the notions ofinterior (ic)-fication and exterior (ic)-fication of $lm$-fuzzytopologies and prove that {bf iclm-ftop} (the category of(ic)$lm$-fuzzy topological ...

There are two main approaches to obtaining “topological” cartesian-closed categories. Under one approach, one restricts to a full subcategory of topological spaces that happens to be cartesian closed — for example, the category of sequential spaces. Under the other, one generalises the notion of space — for example, to Scott’s notion of equilogical space. In this paper we show that the two appr...

In this paper, for a complete residuated lattice L, we present the categorical properties of ?-neighborhood spaces and their relationships to neighborhood stratified L-neighborhood spaces. The main results are: (1) category is topological category; (2) can be embedded in as reflective subcategory, when L meet-continuous lattice, subcategory; (3) continuous (resp., spaces) simultaneously corefle...

A collection of results are presented which are loosely centered around the notion of reflective subcategory. For example, it is shown that reflective subcategories are orthogonality classes, that the morphisms orthogonal to a reflective subcategory are precisely the morphisms inverted under the reflector, and that each subcategory has a largest “envelope” in the ambient category in which it is...