There are two main approaches to obtaining \topological" cartesian-closed categories. Under one approach, one restricts to a full subcategory of topological spaces that happens to be cartesian closed | for example, the category of sequential spaces. Under the other, one generalises the notion of space | for example, to Scott's notion of equilogical space. In this paper we show that the two appr...

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At the same time, spaces of orderings occur naturally in a wide variety of contexts: semilocal rings [13] (more generally, rings with many units [22]) or skewfields [9] (more generally, domains [15] or ternary fields [12]) or ∗–fields with involution [10] (more generally, ∗–domains [19]). Spaces of orderings are the ‘local objects’ in the ‘global’ theory of spaces of signs (abstract real spectr...

South Africa’s democratic transition has had a significant impact upon localized governance systems in mediating development opportunities within the former apartheid homelands. This paper uses a case study from the former KaNgwane homeland to evaluate the role of the Matsamo Tribal Authority in shaping livelihoods and access to environmental resources. It is argued that although the colonial a...

We determine the implicit assumptions and the structure of the Single and Double Cross Calculi within Euclidean geometry, and use these results to guide the construction of analogous calculi in mereogeometry. The systems thus obtained have strong semantic and deductive similarities with the Euclidean-based Cross Calculi although they rely on a different geometry. This fact suggests that putting...

Experiencing awe may make us believe we have more time (Rudd, Vohs, & Aaker, 2012). Awe can be evoked by encountering a vast experience (Keltner & Haidt, 2003), for example an endless ocean or large mountains (Klatzky, Thompson, Stefanucci, Gill, & McGee, 2017). Vast environments may lead to distortions in perceived time that are reported after awe experiences. Participants reproduced the perce...

In this paper, the concept of σ−connectivity in L−topological spaces is introduced. Some properties for σ−connectivity in L−topological spaces are characterized systematically. The famous K.Fan’s Theorem holds for σ−connectivity in L−topological spaces. Mathematics Subject Classification: 54A40