For each recollement of triangulated categories, there is an epivalence between the middle category and comma associated with a triangle functor from on right to left. morphic enhancement $\mathcal {T}$ , are three explicit ideals enhancing category, whose corresponding factor categories all equivalent module over . Examples related inflation weighted projective lines discussed.

† Also at SearchSpace Ltd., London. Abstract: This paper presents the details of a novel search strategy based on randomly remapped search spaces. The algorithm, the MultiMorphic Hill Climber (MMHC), uses multiple base changes in the encoding of potential solutions, so as to adjust the shape and form of a search problem. We describe the algorithm’s structure and present the details of the algor...

The hypothesis of formative causation, which I first proposed in 1981 (SHELDRAKE, 1981) postulates that organisms are subject to an influence from previous similar organisms by a process called morphic resonance. Through morphic resonance, each member of a species draws upon, and in turn contributes to, a pooled or collective memory. Thus, for example, if animals learn a new skill in one place,...

We show that Shipley’s “detection functor” for symmetric spectra generalizes to motivic symmetric spectra. As an application, we construct motivic strict ring spectra representing morphic cohomology, semi-topological K-theory, and semitopological cobordism for complex varieties. As a further application to semi-topological cobordism, we show that it is related to semi-topological K-theory via a...

We consider in general two-block substitutions and their fixed points. prove that some of them have a simple structure: points are morphic sequences. Others intrinsically more complex, such as the Kolakoski sequence. this for Thue-Morse sequence base 3/2.

This paper establishes a new limitative relation between the polymorphic lambda calculus and the kind of higher order type theory which is em bodied in the logic of toposes It is shown that any embedding in a topos of the cartesian closed category of closed types of a model of the poly morphic lambda calculus must place the poly morphic types well away from the powertypes of the topos in the se...

Given a morphism h prolongable on a and an integer p, we present an algorithm that calculates which letters occur infinitely often in congruent positions modulo p in the infinite word h(a). As a corollary, we show that it is decidable whether a morphic word is ultimately p-periodic. Moreover, using our algorithm we can find the smallest similarity relation such that the morphic word is ultimate...

Rudolf Freund studied the splicing systems on graphs and strings. In this paper, we introduced the definition of semigraph folding for the spliced DNA molecule and shown the result that an nspliced semigraph can be folded onto an edge and two semiedges. On characterization of the morphic and antimorphic evolution for the alphabet for the folding of spliced semigraphs, we obtain the set of all p...