Index boundedness and uniform connectedness of space of the G-permutation degree

<p>In this paper the properties of space of the G-permutation degree, like: weight, uniform connectedness and index boundedness are studied. It is proved that:</p><p>(1) If (X, U) is a uniform space, then the mapping π s n, G : (X n , U n ) → (SP n GX, SP n GU) is uniformly continuous and uniformly open, moreover w (U) = w (SP n GU);</p><p>(2) If the mapping f : (X, U) → (Y, V) is a uniformly continuous (open), then the mapping SP n Gf : (SP n GX, SP n GU) → (SP n GY, SP n GV) is also uniformly continuous (open);</p><p>(3) If the uniform space (X, U) is uniformly connected, then the uniform space (SP n GX, SP n GU) is also uniformly connected.</p>

The Role of Pictorial Convention in Haptic Picture Perception

An investigation of tactile picture perception is reported. Blindfolded sighted subjects explored either ‘line drawings’ or ‘textured’ tactile pictures produced on Zytex swell paper. All pictures were ‘two-dimensional’, that is they depicted only one object face and so did not represent a third dimension. Both picture sets represented the same objects. Results revealed that the textured pictures, in which solid surfaces of depicted objects were uniformly textured, were recognised more often than tactile line drawings, in which surfaces of objects were simply bounded by lines. There were no significant correlations between imagery ability (visual, cutaneous, or kinaesthetic) and picture recognition success. Texture may be a form of ‘uniform connectedness’ (Palmer and Rock 1994 Psychonomic Bulletin & Review1 29–55) or ‘common region’ (Palmer 1992 Cognitive Psychology24 436–447), highlighting the global characteristics of stimuli. We argue that textured pictures may encourage the haptic system to take a more globally oriented approach to tactile picture perception, benefiting recognition.