A note on the equivariant Dold–Thom theorem

AbstractIn this note we prove a version of the classical Dold–Thom theorem for the RO(G)-graded equivariant homology functors H∗G(−;M̄), where G is a finite group, M is a discrete Z[G]-module, and M̱ is the Mackey functor associated to M. In the case where M=Z with the trivial G-action, our result says that, for a G-CW-complex X, and for a finite dimensional G-representation V, there is a natural isomorphism[SV,Z0(X)]G≅HVG(X;Z),where Z0(X) denotes the free abelian group on X

Stable equivariant abelianization, its properties, and applications

AbstractLet G be a finite group. For a based G-space X and a Mackey functor M, a topological Mackey functor X⊗˜M is constructed, which will be called the stable equivariant abelianization of X with coefficients in M. When X is a based G-CW complex, X⊗˜M is shown to be an infinite loop space in the sense of G-spaces. This gives a version of the RO(G)-graded equivariant Dold–Thom theorem. Applying a variant of Elmendorf's construction, we get a model for the Eilenberg–Mac Lane spectrum HM. The proof uses a structure theorem for Mackey functors and our previous results

Disentangling working memory functioning in mood states of Bipolar Disorder: a systematic review

Working memory (WM) deficits are often reported in patients with Bipolar Disorder (BD). However, it is not clear about the nature of these WM deficits (update or serial order processes) and their association with each BD states (euthymic, mania, and depressive). This review investigated the association between BD patient's states and the functioning of WM components. For this purpose, we carried out a systematic review fulfilling a search in the databases Medline, Scopus, SciELO, and Web of Science using specific terms in the abstracts of the articles that generated 212 outcomes in the restricted period from 2005 to 2016. Twenty-three papers were selected, completely read, and analyzed using PICOS strategy. The mood episodes predicted deficits in different components of WM in BD patients (the phonological loop or visuospatial sketchpad) and were associated with different WM processes (updating and serial recall). Lower cognitive scores persist even in remission of symptoms. This result suggests that WM deficit apparently is stage-independent in BD patients. Furthermore, findings suggest that the neutral point on Hedonic Detector component of WM could be maladjusted by BD.(undefined)info:eu-repo/semantics/publishedVersio