Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Supervisors info:
Νικόλαος Παπαναστασίου Αναπλ. Καθηγητής ΕΚΠΑ (επιβλέπων), Γεώργιος Κουμουλής Καθηγητής ΕΚΠΑ , Αθανάσιος Τσαρπαλιάς Καθηγητής ΕΚΠΑ
Original Title:
Σχεδόν Ομοιόμορφες Συγκλίσεις Ακολουθιών Συναρτήσεων
Translated title:
Quasi-uniform convergences of sequences of functions
Summary:
In this project we study convergences of sequences linked with the uniform
convergence. With these notions of convergences we achieve the continuity of
the pointwise limit of a sequence of continuous functions and characterizations
pseudo-compactness. Moreover we try to make a classification of these types of
convergences and examine necessary and sufficient conditions under which the
types convergences that we study coincide. In the end we study notions of
convergences for partial functions.
Keywords:
Uniform convergence, Quasi-uniform convergence, Pointwise convrgence, Ideal , Partial functions
