http://m-sciences.com/index.php?journal=jast&page=issue&op=feed Journal of Advanced Studies in Topology 2018-10-17T21:17:02+00:00 A. Ghareeb jast@m-sciences.com 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> http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1415 Soft almost \(\alpha\)-continuous mappings 2018-10-17T21:17:02+00:00 S. S. Thakur samajh_singh@rediffmail.com A. S. Rajput alpasinghrajput09@gmail.com <p>In the present paper the concept of soft almost \(\alpha\)-continuous mappings and soft almost \(\alpha\)-open mappings in soft topological spaces have been introduced and studied.</p> 2018-08-10T09:13:31+00:00 ##submission.copyrightStatement## http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1411 Weak and strong forms of fuzzy \(\alpha\)-open (closed) sets and its applications 2018-10-17T21:17:02+00:00 Hakeem A. Othman haoali@uqu.edu.sa Alanod M. Sibih amsibih@uqu.edu.sa <p>In this paper, we generalize the concept of infra-\(\alpha\)-open (closed) and supra-\(\alpha\)-open (closed) sets to fuzzy topological spaces and basic properties of these new concepts have been introduced. Some applications on fuzzy (supra-) infra-\(\alpha\)-open (closed) sets, likely, fuzzy (supra-) infra-\(\alpha\)-continuous mappings, fuzzy (supra-) infra-\(\alpha\)-open (closed) mappings, fuzzy supra-\(\alpha\)- irresolute mapping and fuzzy supra-\(\alpha\)-connected space are introduced. The relations and converse relations between these new concepts and others kinds of fuzzy open sets and fuzzy continuous mappings are discussed. Special results about these new concepts are investigated and studied.</p> 2018-08-10T00:00:00+00:00 ##submission.copyrightStatement## http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1454 Separation axioms on function spaces defined on bitopological spaces 2018-10-17T21:17:01+00:00 N. E. Muturi edward.njuguna@gmail.com J. M. Khalagai null@null.com G. P. Pokhariyal null@null.com <p>In this paper, we introduce separation axioms on the function space <em>p</em><em>− </em><em>C</em><em>ω</em>(<em>Y, Z</em>) and study how they relate<br>to separation axioms defined on the spaces (<em>Z, δ</em><em>i</em>) for <em>i </em>= 1<em>, </em>2, (<em>Z, δ</em>1<em>, δ</em>2), 1 <em>− </em><em>C</em><em>ς</em>(<em>Y, Z</em>) and 2 <em>− </em><em>C</em><em>ζ</em>(<em>Y, Z</em>). It<br>is shown that the space <em>p </em><em>− </em><em>C</em><em>ω</em>(<em>Y, Z</em>) is <em>p</em><em>T</em><em>◦</em>, <em>p</em><em>T</em>1, <em>p</em><em>T</em>2 and <em>p</em>regular, if the spaces (<em>Z, δ</em>1) and (<em>Z, δ</em>2) are both<br><em>T0</em>, <em>T</em>1, <em>T</em>2 and regular respectively. The space <em>p </em><em>− </em><em>C</em><em>ω</em>(<em>Y, Z</em>) is also shown to be <em>p</em><em>T0</em>, <em>p</em><em>T</em>1, <em>p</em><em>T</em>2 and <em>p</em>regular,<br>if the space (<em>Z, δ</em>1<em>, δ</em>2) is <em>p </em><em>− </em><em>T0</em>, <em>p </em><em>− </em><em>T</em>1, <em>p </em><em>− </em><em>T</em>2 and <em>p</em>-regular respectively. Finally, the space <em>p </em><em>− </em><em>C</em><em>ω</em>(<em>Y, Z</em>) is<br>shown to be&nbsp;<em>p</em><em>T0</em>, <em>p</em><em>T</em>1, <em>p</em><em>T</em>2 and <em>p</em>regular, if and only if the spaces 1 <em>− </em><em>C</em><em>ς</em>(<em>Y, Z</em>) and 2 <em>− </em><em>C</em><em>ζ</em>(<em>Y, Z</em>) are both <em>T</em>0,<br><em>T</em>1, <em>T</em>2, and only if the spaces 1 <em>− </em><em>C</em><em>ς</em>(<em>Y, Z</em>) and 2 <em>− </em><em>C</em><em>ζ</em>(<em>Y, Z</em>) are both regular respectively.</p> 2018-08-22T21:31:37+00:00 ##submission.copyrightStatement## http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1401 \(\alpha_\beta\)-Connectedness as a characterization of connectedness 2018-10-17T21:17:01+00:00 B. K. Tyagi brijkishore.tyagi@gmail.com Manoj Bhardwaj manojmnj27@gmail.com Sumit Singh sumitkumar405@gmail.com <p>In this paper, a new class of \(\alpha_\beta\)-open sets in a topological space \(X\) is introduced which forms a topology on \(X\). The connectedness of this new topology on \(X\), called \(\alpha_\beta\)-connectedness, turns out to be equivalent to connectedness of \(X\) and hence also to \(\alpha\)-connectedness of \(X\). The \(\alpha_\beta\)-continuous and \(\alpha_\beta\)-irresolute mappings are defined and their relationship with other mappings such as continuous mappings and \(\alpha\)-continuous mappings are discussed. An intermediate value theorem is obtained. The hyperconnected spaces constitute a subclass of \(\alpha_\beta\)-connected spaces.</p> 2018-09-25T18:10:44+00:00 ##submission.copyrightStatement##