We prove that, in a triangulated category with combinatorial models, every localizing subcategory is coreflective and every colocalizing subcategory is reflective if a certain large-cardinal axiom (Vopěnka’s principle) is assumed true. It follows that, under the same assumptions, orthogonality sets up a bijective correspondence between localizing subcategories and colocalizing subcategories. Th...

We prove a structure result on proper extensions of two-sided restriction semigroups in terms partial actions, generalizing respective results for monoids and inverse upgrading the latter. introduce study several classes actions that generalize semigroups. establish an adjunction between category P(S) semigroup S A(S) subject to certain conditions going back work O'Carroll. In A(S), we specify ...

Computational reflection is gaining interest in practical applications: modern software frequently requires strong adaptability conditions to be met in order to fit a heterogenous and evolving computing environment. Most of these applications only need limited but flexible reflective capabilities rather than sophisticated reflective languages and reflective runtime systems. However, there is no...

We present a method for the accurate 3D reconstruction of partly-symmetric objects. build on strengths recent advances in neural and rendering such as Neural Radiance Fields (NeRF). A major shortcoming approaches is that they fail to reconstruct any part object which not clearly visible training image, often case in-the-wild images videos. When evidence lacking, structural priors symmetry can b...

Shade structures are often considered as one method of reducing stress in feedlot cattle. Selection of a suitable shade material can be difficult without data that quantify material effectiveness for stress reduction. A summer study was conducted during 2007 using instrumented shade structures in conjunction with meteorological measurements to estimate relative effectiveness of various shade ma...

‎This paper develops a basic theory of $H$-groups‎. ‎We‎ ‎introduce a special quotient of $H$-groups and‎ ‎extend some algebraic constructions of topological groups to the category‎ ‎of H-groups and H-maps and then present a functor from this category to the category of quasitopological groups‎.

in addition to exploring constructions and properties of limits and colimits in categories of topologicalalgebras, we study special subcategories of topological algebras and their properties. in particular, undercertain conditions, reflective subcategories when paired with topological structures give rise to reflectivesubcategories and epireflective subcategories give rise to epireflective subc...

these are notes from introductory survey lectures given at the institute for studies in theoretical physics and mathematics (ipm), teheran, in 2008 and 2010. we present the definition and the fundamental properties of fomin-zelevinsky’s cluster algebras. then, we introduce quiver representations and show how they can be used to construct cluster variables, which are the canonical generators of ...

As part of the general shift in contemporary healthcare from a focus on specific diseases to treating the whole person, doctors are now expected to be reflective and engage empathetically with patients. Yet, the context of end of life potentially confounds this commitment. Here we draw on the written submissions of UK medical students confronting dying patients to offer insight into a range of ...