ΠΕΡΙΦΕΡΕΙΑΚΑ ΔΙΑΣΚΟΡΠΙΣΜΕΝΟΙ ΧΩΡΟΙ ΚΑΙ ΚΑΘΟΛΙΚΟΤΗΤΑ

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.

Grantor dc:publisher

University of Patras

Year dc:date

1990

Author dc:creator

• Ζαφειρίδου-Μελιδώνη, Σοφία

• 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

Language dc:language

gre

Identifier

10.12681/eadd/1425

OAI identifier oai:identifier

oai:10442/1425