{"id":25369,"date":"2021-10-14T13:10:32","date_gmt":"2021-10-14T11:10:32","guid":{"rendered":"https:\/\/cio.umh.es\/?p=25369"},"modified":"2022-01-14T13:16:42","modified_gmt":"2022-01-14T12:16:42","slug":"ferrando-j-c-ka%cc%a7kol-j-sliwa-w-2021-bounded-resolutions-for-spaces-cpx-and-a-characterization-in-terms-of-x-revista-de-la-real-academia-de-ciencias-exactas-fisicas-y-naturales","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2021\/10\/14\/ferrando-j-c-ka%cc%a7kol-j-sliwa-w-2021-bounded-resolutions-for-spaces-cpx-and-a-characterization-in-terms-of-x-revista-de-la-real-academia-de-ciencias-exactas-fisicas-y-naturales\/","title":{"rendered":"Ferrando, J.C., Ka\u0327kol, J., \u015aliwa, W. (2021) \u00abBounded resolutions for spaces Cp(X) and a characterization in terms of X\u00bb, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales &#8211; Serie A: Matematicas, 115 (2):90"},"content":{"rendered":"<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong style=\"font-size: 18px\">Juan Carlos Ferrando (Operations Research Center, University Miguel Hern\u00e1ndez of Elche), Jerzy K\u0105kol (Faculty of Mathematics and Informatics, A. Mickiewicz University, Pozna\u0144) and Wies\u0142aw \u015aliwa <\/strong><strong style=\"font-size: 18px\">(Institute of Mathematics, College of Natural Sciences, University of Rzesz\u00f3w)<\/strong><\/p>\n<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Abstract:\u00a0<\/strong><span>An internal characterization of the Arkhangel\u2019ski\u012d-Calbrix main theorem from [4] is obtained by showing that the space C<\/span><sub>p<\/sub><span>(X) of continuous real-valued functions on a Tychonoff space X is K-analytic framed in R<\/span><sup>X<\/sup><span>\u00a0if and only if X admits a nice framing. This applies to show that a metrizable (or cosmic) space X is \u03c3 -compact if and only if X has a nice framing. We analyse a few concepts which are useful while studying nice framings. For example, a class of Tychonoff spaces X containing strictly Lindel\u00f6f \u010cech-complete spaces is introduced for which a variant of Arkhangel\u2019ski\u012d-Calbrix theorem for \u03c3-boundedness of X is shown.\u00a0<\/span><\/p>","protected":false},"excerpt":{"rendered":"<p>Juan Carlos Ferrando (Operations Research Center, University Miguel Hern\u00e1ndez of Elche), Jerzy K\u0105kol (Faculty of Mathematics and Informatics, A. Mickiewicz University, Pozna\u0144) and Wies\u0142aw \u015aliwa (Institute of Mathematics, College of Natural Sciences, University of Rzesz\u00f3w)<br \/>\nAbstract:\u00a0An internal characterization of the Arkhangel\u2019ski\u012d-Calbrix main theorem from [4] is obtained by showing that the space Cp(X) of continuous real-valued [&#8230;]<\/p>","protected":false},"author":5675,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25369"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/5675"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=25369"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25369\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=25369"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=25369"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=25369"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}