Journal of Advanced Studies in Topology 2019-02-15T23:22:12+00:00 A. Ghareeb Open Journal Systems <p style="text-align: justify;">The Journal of Advanced Studies in Topology (<strong>JAST</strong>) is dedicated to rapid publication of the highest quality short papers, regular papers, and expository papers.<span class="Apple-converted-space">&nbsp;</span><strong>JAST</strong><span class="Apple-converted-space">&nbsp;</span>is a peer-reviewed international journal, which publishes original research papers and survey articles in all aspects of topology and its applications.</p> Reflexive retracts and its properties 2019-02-15T23:22:12+00:00 C. R. Parvathy S. Bhuvaneshwari <p>In this paper, we have introduced the notion of reflexive retract. A few levels of retracts were achieved. The first level is obviously the retract in the sense of Borsuk, and the second level is reflexive homotopy and its properties.</p> 2019-01-31T11:09:59+00:00 ##submission.copyrightStatement## A note on the lattice of L-topologies 2019-02-15T23:22:11+00:00 Pinky . T.P Johnson <p>In this paper, we study the lattice structure of the lattice \(F_{T,L}\) of all \(L\)-topologies determined by the families of Scott continuous functions for a given topological space \((X,T)\). Some properties are discussed for which the lattice \(F_{T,L}\) is complemented.</p> 2019-02-03T19:41:39+00:00 ##submission.copyrightStatement## Some strong forms of connectedness in topological spaces 2019-02-15T23:22:12+00:00 B. K. Tyagi Sumit Singh Manoj Bhardwaj Harsh V. S. Chauhan <p>In this paper, we study new separations of sets called half separated, half \(\alpha\)-separated, half semi separated, half pre-separated, half \(\beta\)-separated sets and corresponding to these notions introduced half connected, half \(\alpha\)-connected, half semi-connected, half pre-connected, half \(\beta\)-connected topological spaces, respectively. These are stronger forms of connectedness, \(\alpha\)-connectedness, semi-connectedness, pre-connectedness, \(\beta\)-connectedness respectively. The properties of these notions follow the same pattern.</p> 2019-02-03T00:00:00+00:00 ##submission.copyrightStatement## Compact and extremally disconnected spaces via generalized continuous functions 2019-02-15T23:22:11+00:00 Zeinab Bandpey Bhamini M. P. Nayar <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p>In [12], the class of compact and extremally dinconnected spaces were studied using several investigative tools such as filters, graphs, functions, multifuctions and subsets of the space. These different approaches of investigation produced significant charecterizations and properties of this important class of spaces. In [3] we introduced three forms of generalized continuous functions by studying the class of u-continuous functions of Joseph, Kwack and Nayar [9] using the concepts of an α-set of Njastad [13]. The generalized continuous forms introduced there are: αu-continuous, semi-αu-contnuous and strongly u-continuous functions. In the present study we investigate the class of compact and extremally disconnected spaces using these generalized continuous functions.</p> </div> </div> </div> 2019-02-09T17:57:50+00:00 ##submission.copyrightStatement##