It has been suggested that uniform connectedness is the most fundamental factor in forming units of attentional selection, while there are evidences that attention can select a perceptual group that consists of separate elements with similar features. The present study examined the effects of connectedness and a boundary-feature similarity on early spatial-selection processes using a sustained-...

Let T be the attractor of injective contractions f1, . . . , fm on R 2 that satisfy the Open Set Condition. If T is connected, ∂T is arcwise connected. In particular, the boundary of the Lévy dragon is arcwise connected.

In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $omega_theta$-connectedness, and the $omega$-connectedness will be determined. Moreover, the concept of textit{somewhat}-continuous function from an arbitrary topological space into the product space will be chara...

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

We consider a nonconvex and nonclosed higher order differential inclusion and we prove the arcwise connectedness of the solution set.

ofThe Transcendental Critique Revisited and Revised Dooyeweerd’s account of abstraction is examined and found to be faulty. He holds that abstract thinkingisolates aspects which must then be synthesized, whereas I argue that we cannot isolate any aspect from the othershowever so hard we try. But our very inability to isolate aspects is then turned into an alternative version of ...

In this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. We also investigate effect to fuzzy soft connectedness. Moreover, $C_i$-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.

It is known that connectedness is one of the important notions in topology. In this paper, a new notion of connectedness is introduced in L-topological spaces, which is called PS-connectedness. It contains some nice properties. Especially, the famous K. Fan’s Theorem holds for PS-connectedness in L-topological spaces.