Whereas Black identity is the standard for cool, nerds are typically seen as anything but. Nerd exemplified by characters who awkward, highly intelligent, lonely and undoubtedly uncool. This article seeks to extend scholarship on nerd critically examining fictional representation of Burton ‘Gus’ Guster, a lead character in American program Psych (2006 – 2014) subsequent made-for-television movi...

The purpose of these notes is to explain the relationship between Batanin’s categories of pruned trees and iterated bar complexes. This article is an appendix of the article [4]. Our purpose is to explain the relationship between Batanin’s categories of pruned trees (see [1, 2]) and iterated bar complexes and to revisit some constructions [4] in this formalism. The reader can use this appendix ...

1 LAGA, Université Paris XIII, 93430 Villetaneuse, France, [email protected]; [email protected], partially supported by french ANR (COMMA) and GdR MoMaS. 2 Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton NJ 08544-1000, USA; C.N.R.S., MAB, Université Bordeaux 1, 33405 Talence Cedex, France, partially supported by NSF Grant DMS-0504720, ...

We investigate categorical versions of algebraically closed (= pure) embeddings, existentially closed embeddings, and the like, in the context of locally presentable categories. The definitions of S. Fakir [Fa, 75], as well as some of his results, are revisited and extended. Related preservation theorems are obtained, and a new proof of the main result of Rosický, Adámek and Borceux ([RAB, 02])...