پديد آورنده :
كافي كنگ، مهدي
عنوان :
گسترش هاي تك نقطه اي فضاهاي برداري
مقطع تحصيلي :
كارشناسي ارشد
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
يادداشت :
ص.ع.به فارسي و انگليسي
استاد راهنما :
محمدرضا كوشش
تاريخ نمايه سازي :
11/8/92
استاد داور :
فريد بهرامي، سيما سلطاني
چكيده فارسي :
به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي
چكيده انگليسي :
Abstract Let be a topological space extension of is called a one point extension if is a single point Two extension 1 and A topological space is called an extension of if contains as a dense subspace An 2 of are said to be equivalent if there exists a homeomorphism between them which fixes point wise The relation just defined is an equivalence relation on the class of all extension of For two equivalence classes of extensions 1 and 2 of we write 1 2 if there exists a We denote the equivalence class of an extension by itself if there is no risk of confusion continuous mapping 1 2 such that fixes the point of The relation defines an order relation on the set of all extensions of Furthermore two extension 1 and 2 of are equivalent if and only if both 1 2 and 2 1 hold Denote by the set of all extensions of by the set of all metrizable extensions of and by the set of all one point metrizable extensions of Bel nov has studied the partially ordered set long time ago The authors have been unable to locate any other research about in the literature There is a well known result of where Magill that relates the partially ordered set of all compactification of a completelly regular space Motivated by Magill s result and Bel nov study of Henriksen Janos and Woods studied to the topology of the outgrowth is the Stone ech compactification of the partially ordered set of Although their study seems to be more related to that of order anti isomorphism from the set of all one point metrizable extension of a locally Bel nov the nature of result resemble more to those obtained by Magill They have defined an compact metrizable space to the set of all zeroset of partially ordered by set inclusion The mapping enables us to study by studying its image In particular the authors proved that an element of is locally compact if and only if its The main result states that for any two locally compact metrizable spaces and the partially ordered sets and are image under is an open closed clopen subset of and are homeomorphic This can be order isomorphic if and only if the spaces of considered as a dual result of Magill s theorem which relates the order structure of the set of all compactifications of a locally compact space to the topology of the subspace PDF created with pdfFactory trial version www pdffactory com
استاد راهنما :
محمدرضا كوشش
استاد داور :
فريد بهرامي، سيما سلطاني
