Journal of Advanced Studies in Topology http://m-sciences.com/index.php?journal=jast <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> en-US <p>No manuscript should be submitted which has previously been published, or which has been simultaneously submitted for publication elsewhere. The copyright in a published article rests solely with the Modern Science Publishers, and the paper may not be reproduced in whole in part by any means whatsoever without prior written permission.</p> jast@m-sciences.com (A. Ghareeb) Thu, 31 Jan 2019 06:09:13 +0000 OJS 3.1.1.0 http://blogs.law.harvard.edu/tech/rss 60 Reflexive retracts and its properties http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1494 <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> C. R. Parvathy, S. Bhuvaneshwari ##submission.copyrightStatement## http://creativecommons.org/licenses/by-nc/4.0 http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1494 Thu, 31 Jan 2019 11:09:59 +0000 A note on the lattice of L-topologies http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1489 <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> Pinky ., T.P Johnson ##submission.copyrightStatement## http://creativecommons.org/licenses/by-nc/4.0 http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1489 Sun, 03 Feb 2019 19:41:39 +0000 Some strong forms of connectedness in topological spaces http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1497 <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> B. K. Tyagi, Sumit Singh, Manoj Bhardwaj, Harsh V. S. Chauhan ##submission.copyrightStatement## http://creativecommons.org/licenses/by-nc/4.0 http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1497 Sun, 03 Feb 2019 00:00:00 +0000 Compact and extremally disconnected spaces via generalized continuous functions http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1507 <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> Zeinab Bandpey, Bhamini M. P. Nayar ##submission.copyrightStatement## http://creativecommons.org/licenses/by-nc/4.0 http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1507 Sat, 09 Feb 2019 17:57:50 +0000