Web spaces and worldwide web spaces: Topological aspects of domain theory

Web spaces, wide web spaces and worldwide web spaces (alias C-spaces) provide useful generalizations of continuous domains. We present new characterizations of such spaces and their patch spaces, obtained by joining the original topology with a second topology having the dual specialization order; these patch spaces possess good convexity and separation properties and determine the original web spaces. The category of C-spaces is concretely isomorphic to the category of fan spaces; these are certain quasi-ordered spaces having neighborhood bases of fans, where a fan is obtained by deleting a finite number of principal dual ideals from a principal dual ideal. Our approach has useful consequences for domain theory, because the T0 web spaces are exactly the generalized Scott spaces associated with locally approximating ideal extensions, and the T0 C-spaces are exactly the generalized Scott spaces associated with globally approximating and interpolating ideal extensions. The characterization of continuous lattices as meet-continuous lattices with T2 Lawson topology and the Fundamental Theorem of Compact Semilattices are extended to non-complete posets. Finally, cardinal invariants like density and weight of the involved objects are investigated. © 2019 Marcel Erné. All rights reserved

Meet-continuity and locally compact sober dcpos

In this thesis, we investigate meet-continuity over dcpos. We give different equivalent descriptions of meet-continuous dcpos, among which an important characterisation is given via forbidden substructures. By checking the function space of such substructures we prove, as a central contribution, that any dcpo with a core-compact function space must be meet-continuous. As an application , this result entails that any cartesian closed full subcategory of quasicontinuous domains consists of continuous domains entirely. That is to say , both the category of continuous domains and that of quasicontinuous domains share the same cartesian closed full subcategories. Our new characterisation of meet-continuous dcpos also allows us to say more about full subcategories of locally compact sober dcpos which are generalisations of quasicontinuous domains. After developing some theory of characterising coherence and bicompleteness of dcpos, we conclude that any cartesian closed full subcategory of pointed locally compact sober dcpos is entirely contained in the category of stably compact dcpos or that of L-dcpos. As a by-product, our study of coherence of dcpos enables us to characterise Lawson-compactness over arbitrary dcpos

Film Noir as the Sovereign-Image of Empire: Cynicism, White Male Biopolitics, and the Neoliberal Cinematic Apparatus

This dissertation develops a theory of film noir as sovereign-image, a meta-generic and meta-cinematic discourse that confronts the viewer with the biopolitical ambivalence of the cinematic apparatus but enjoins her to nonetheless affirm its normative use. I argue that classical American noir deploys a proto-neoliberal ideology to turn the indeterminacy at its core into a spectacle of victimized white men, offering emphatically gendered and racialized images of a pathological entrepreneur of the self who is not ashamed to exhibit his wounded private life as the source of his singular market value. I claim, however, that even in his fully developed contemporary form in which his classical predecessors trauma induced shamelessness turns into a cynically calculated affective display, noirs neoliberal hero is not the self-made man he appears to be but remains delegated by a homosocial group to be the sovereign arbiter of their lifes value for them, instead of them. As an individual whonot unlike the film vieweris temporarily isolated from his peers he is in the exceptional position to freely decide what kind of life to consider productive for the process of capital accumulation, turning his body into the arbitrary link between what Agamben calls bare life and a qualified form of lifea link I call the sovereign-image. I track the evolution of film noirs sovereign function alongside the expansion and transformation of the United States from a territorialized nation state to a deterritorialized global financial network (what Hardt and Negri call Empire) to shed light on how Hollywoods anomalous noir crisis, its war trauma induced state of exception, became the expression of the governing paradigm of unbridled global biocapitalism in the age of North Atlantic unilateralism. In contemporary neo-noirs like The Usual Suspects (1995), Trainspotting (1996), Inception (2010), Fight Club (1999), or Drive (2011) becoming a self-made neoliberal subject coincides with gaining membership in a hybrid and flexible white male bios, the old-new flesh of Empire now cynically framed as the condition of possibility for autonomous selfhood as such. In critiquing neo-noirs cynical paradigm I demonstrate that its reactionary force can be mobilized only if the films first construct a biopolitical zone of indistinction where the inevitability of the western capitalo-patriarchal status quo is questioned and the equality of all forms of life is posited