{"id":{"repo_id":"greece","oai_identifier":"oai:10442/1425"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/1425","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΠΕΡΙΦΕΡΕΙΑΚΑ ΔΙΑΣΚΟΡΠΙΣΜΕΝΟΙ ΧΩΡΟΙ ΚΑΙ ΚΑΘΟΛΙΚΟΤΗΤΑ","abstract":"THIS THESIS REFERS TO METRIZABLE TOPOLOGICAL SPACES WITH COUNTABLE BASIS. IT ISPROVED THAT THERE IS NO UNIVERSAL ELEMENT IN THE FAMILY RCK(D) OF ALL SPACES WHICH HAVE A BASIS WHOSE ELEMENTS HAVE BOUNDARIES WITH EMPTY D-DERIVATIVE WHERE D ISOLATED ORDINAL AND ONE COMPACTIFICATION WITH EMPTY (D+K)-DERIVATIVE, WHERE K A NON-NEGATIVE INTEGER. IT IS ALSO PROVED THAT THERE IS NO UNIVERSAL ELEMENT IN THE FAMILY OF PL(RRIM-COM(D)) OF ALL SPACES WHICH HAVE A BASIS, WHOSE ELEMENTS HAVE COMPACT BOUNDARIES WITH EMPTY D-DERIVATIVE, WHERE D ANY ORDINAL NUMBER.","abstract_html":"THIS THESIS REFERS TO METRIZABLE TOPOLOGICAL SPACES WITH COUNTABLE BASIS. IT ISPROVED THAT THERE IS NO UNIVERSAL ELEMENT IN THE FAMILY RCK(D) OF ALL SPACES WHICH HAVE A BASIS WHOSE ELEMENTS HAVE BOUNDARIES WITH EMPTY D-DERIVATIVE WHERE D ISOLATED ORDINAL AND ONE COMPACTIFICATION WITH EMPTY (D+K)-DERIVATIVE, WHERE K A NON-NEGATIVE INTEGER. IT IS ALSO PROVED THAT THERE IS NO UNIVERSAL ELEMENT IN THE FAMILY OF PL(RRIM-COM(D)) OF ALL SPACES WHICH HAVE A BASIS, WHOSE ELEMENTS HAVE COMPACT BOUNDARIES WITH EMPTY D-DERIVATIVE, WHERE D ANY ORDINAL NUMBER.","abstract_has_math":false,"creators":["Ζαφειρίδου-Μελιδώνη, Σοφία"],"institution":"University of Patras","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1990,"date_issued":"1990","date_published":"1990","updated_at":"2026-07-24T02:24:56Z","subjects":["D-ΠΑΡΑΓΩΓΟΣ","ΔΙΑΣΚΟΡΠΙΣΜΕΝΟΣ ΧΩΡΟΣ","ΠΕΡΙΦΕΡΕΙΑΚΑ ΔΙΑΣΚΟΡΠΙΣΜΕΝΟΣ ΧΩΡΟΣ","ΠΕΡΙΦΕΡΕΙΑΚΑ ΠΕΠΕΡΑΣΜΕΝΟΣ ΧΩΡΟΣ","D-DERIVATIVE","RIM-FINITE SPACE","RIM-SCATTERED SPACE","RIM-TYPE","SCATTERED SPACE","Type","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/1425"],"render_values":[{"text":"10.12681/eadd/1425","href":"https://doi.org/10.12681/eadd/1425","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/1425","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ζαφειρίδου-Μελιδώνη, Σοφία"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1990"]},{"key":"dc:publisher","label":"Institution","values":["University of Patras","Πανεπιστήμιο Πατρών"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["D-ΠΑΡΑΓΩΓΟΣ","ΔΙΑΣΚΟΡΠΙΣΜΕΝΟΣ ΧΩΡΟΣ","ΠΕΡΙΦΕΡΕΙΑΚΑ ΔΙΑΣΚΟΡΠΙΣΜΕΝΟΣ ΧΩΡΟΣ","ΠΕΡΙΦΕΡΕΙΑΚΑ ΠΕΠΕΡΑΣΜΕΝΟΣ ΧΩΡΟΣ","D-DERIVATIVE","RIM-FINITE SPACE","RIM-SCATTERED SPACE","RIM-TYPE","SCATTERED SPACE","Type","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/1425","http://hdl.handle.net/10442/hedi/1425"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["THIS THESIS REFERS TO METRIZABLE TOPOLOGICAL SPACES WITH COUNTABLE BASIS. IT ISPROVED THAT THERE IS NO UNIVERSAL ELEMENT IN THE FAMILY RCK(D) OF ALL SPACES WHICH HAVE A BASIS WHOSE ELEMENTS HAVE BOUNDARIES WITH EMPTY D-DERIVATIVE WHERE D ISOLATED ORDINAL AND ONE COMPACTIFICATION WITH EMPTY (D+K)-DERIVATIVE, WHERE K A NON-NEGATIVE INTEGER. IT IS ALSO PROVED THAT THERE IS NO UNIVERSAL ELEMENT IN THE FAMILY OF PL(RRIM-COM(D)) OF ALL SPACES WHICH HAVE A BASIS, WHOSE ELEMENTS HAVE COMPACT BOUNDARIES WITH EMPTY D-DERIVATIVE, WHERE D ANY ORDINAL NUMBER.","ΑΝΑΦΟΡΑ ΣΤΟΥΣ ΜΕΤΡΙΚΟΠΟΙΗΣΙΜΟΥΣ ΤΟΠΟΛΟΓΙΚΟΥΣ ΧΩΡΟΥΣ. ΑΠΟΔΕΙΚΝΥΕΤΑΙ ΟΤΙ ΔΕΝ ΥΠΑΡΧΕΙ ΚΑΘΟΛΙΚΟ ΣΤΟΙΧΕΙΟ ΣΤΗΝ ΟΙΚΟΓΕΝΕΙΑ RCK(D) ΟΛΩΝ ΤΩΝ ΧΩΡΩΝ ΠΟΥ ΕΧΟΥΝ ΜΙΑ ΒΑΣΗ ΣΤΑ ΣΥΝΟΡΑ ΤΩΝ ΣΤΟΙΧΕΙΩΝ ΤΗΣ ΟΠΟΙΑΣ ΕΧΟΥΝ ΚΕΝΗ ΤΗΝ D-ΠΑΡΑΓΩΓΟ, ΟΠΟΥ D ΜΕΜΟΝΩΜΕΝΟΣ ΔΙΑΤΑΚΤΙΚΟΣ, ΚΑΙ ΜΙΑ ΣΥΜΠΑΓΟΠΟΙΗΣΗ ΜΕ ΚΕΝΗ ΤΗΝ (D+K)-ΠΑΡΑΓΩΓΟ, ΟΠΟΥ Κ ΕΙΝΑΙ ΜΗ ΑΡΝΗΤΙΚΟΣ ΑΚΕΡΑΙΟΣ. ΕΠΙΣΗΣ ΑΠΟΔΕΙΚΝΥΕΤΑΙ ΟΤΙ ΔΕΝ ΥΠΑΡΧΕΙ ΚΑΘΟΛΙΚΟ ΣΤΟΙΧΕΙΟ ΣΤΗΝ ΟΙΚΟΓΕΝΕΙΑ PL(RRIM-COM(D)) ΟΛΩΝ ΤΩΝ ΧΩΡΩΝ ΠΟΥ ΕΧΟΥΝ ΜΙΑ ΒΑΣΗ, ΤΑ ΣΥΝΟΡΑ ΤΩΝΣΤΟΙΧΕΙΩΝ ΤΗΣ ΟΠΟΙΑΣ ΕΙΝΑΙ ΣΥΜΠΑΓΗ ΚΑΙ ΕΧΟΥΝ ΚΕΝΗ ΤΗΝ D-ΠΑΡΑΓΩΓΟ, ΟΠΟΥ D ΟΠΟΙΟΣΔΗΠΟΤΕ ΔΙΑΤΑΚΤΙΚΟΣ ΑΡΙΘΜΟΣ."]},{"key":"dc:title","label":"Title","values":["ΠΕΡΙΦΕΡΕΙΑΚΑ ΔΙΑΣΚΟΡΠΙΣΜΕΝΟΙ ΧΩΡΟΙ ΚΑΙ ΚΑΘΟΛΙΚΟΤΗΤΑ","RIM-SCATTERED SPACES AND UNIVERSALITY"]}]}],"canonical_facts":{"dc:creator":["Ζαφειρίδου-Μελιδώνη, Σοφία"],"dc:date":["1990"],"dc:description":["THIS THESIS REFERS TO METRIZABLE TOPOLOGICAL SPACES WITH COUNTABLE BASIS. IT ISPROVED THAT THERE IS NO UNIVERSAL ELEMENT IN THE FAMILY RCK(D) OF ALL SPACES WHICH HAVE A BASIS WHOSE ELEMENTS HAVE BOUNDARIES WITH EMPTY D-DERIVATIVE WHERE D ISOLATED ORDINAL AND ONE COMPACTIFICATION WITH EMPTY (D+K)-DERIVATIVE, WHERE K A NON-NEGATIVE INTEGER. IT IS ALSO PROVED THAT THERE IS NO UNIVERSAL ELEMENT IN THE FAMILY OF PL(RRIM-COM(D)) OF ALL SPACES WHICH HAVE A BASIS, WHOSE ELEMENTS HAVE COMPACT BOUNDARIES WITH EMPTY D-DERIVATIVE, WHERE D ANY ORDINAL NUMBER.","ΑΝΑΦΟΡΑ ΣΤΟΥΣ ΜΕΤΡΙΚΟΠΟΙΗΣΙΜΟΥΣ ΤΟΠΟΛΟΓΙΚΟΥΣ ΧΩΡΟΥΣ. ΑΠΟΔΕΙΚΝΥΕΤΑΙ ΟΤΙ ΔΕΝ ΥΠΑΡΧΕΙ ΚΑΘΟΛΙΚΟ ΣΤΟΙΧΕΙΟ ΣΤΗΝ ΟΙΚΟΓΕΝΕΙΑ RCK(D) ΟΛΩΝ ΤΩΝ ΧΩΡΩΝ ΠΟΥ ΕΧΟΥΝ ΜΙΑ ΒΑΣΗ ΣΤΑ ΣΥΝΟΡΑ ΤΩΝ ΣΤΟΙΧΕΙΩΝ ΤΗΣ ΟΠΟΙΑΣ ΕΧΟΥΝ ΚΕΝΗ ΤΗΝ D-ΠΑΡΑΓΩΓΟ, ΟΠΟΥ D ΜΕΜΟΝΩΜΕΝΟΣ ΔΙΑΤΑΚΤΙΚΟΣ, ΚΑΙ ΜΙΑ ΣΥΜΠΑΓΟΠΟΙΗΣΗ ΜΕ ΚΕΝΗ ΤΗΝ (D+K)-ΠΑΡΑΓΩΓΟ, ΟΠΟΥ Κ ΕΙΝΑΙ ΜΗ ΑΡΝΗΤΙΚΟΣ ΑΚΕΡΑΙΟΣ. ΕΠΙΣΗΣ ΑΠΟΔΕΙΚΝΥΕΤΑΙ ΟΤΙ ΔΕΝ ΥΠΑΡΧΕΙ ΚΑΘΟΛΙΚΟ ΣΤΟΙΧΕΙΟ ΣΤΗΝ ΟΙΚΟΓΕΝΕΙΑ PL(RRIM-COM(D)) ΟΛΩΝ ΤΩΝ ΧΩΡΩΝ ΠΟΥ ΕΧΟΥΝ ΜΙΑ ΒΑΣΗ, ΤΑ ΣΥΝΟΡΑ ΤΩΝΣΤΟΙΧΕΙΩΝ ΤΗΣ ΟΠΟΙΑΣ ΕΙΝΑΙ ΣΥΜΠΑΓΗ ΚΑΙ ΕΧΟΥΝ ΚΕΝΗ ΤΗΝ D-ΠΑΡΑΓΩΓΟ, ΟΠΟΥ D ΟΠΟΙΟΣΔΗΠΟΤΕ ΔΙΑΤΑΚΤΙΚΟΣ ΑΡΙΘΜΟΣ."],"dc:identifier":["10.12681/eadd/1425","http://hdl.handle.net/10442/hedi/1425"],"dc:language":["gre"],"dc:publisher":["University of Patras","Πανεπιστήμιο Πατρών"],"dc:subject":["D-ΠΑΡΑΓΩΓΟΣ","ΔΙΑΣΚΟΡΠΙΣΜΕΝΟΣ ΧΩΡΟΣ","ΠΕΡΙΦΕΡΕΙΑΚΑ ΔΙΑΣΚΟΡΠΙΣΜΕΝΟΣ ΧΩΡΟΣ","ΠΕΡΙΦΕΡΕΙΑΚΑ ΠΕΠΕΡΑΣΜΕΝΟΣ ΧΩΡΟΣ","D-DERIVATIVE","RIM-FINITE SPACE","RIM-SCATTERED SPACE","RIM-TYPE","SCATTERED SPACE","Type","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"dc:title":["ΠΕΡΙΦΕΡΕΙΑΚΑ ΔΙΑΣΚΟΡΠΙΣΜΕΝΟΙ ΧΩΡΟΙ ΚΑΙ ΚΑΘΟΛΙΚΟΤΗΤΑ","RIM-SCATTERED SPACES AND UNIVERSALITY"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:24:56Z"}