Some additive Darboux-like functions

• Autorzy: Ciesielski K.
• Języki publikacji: EN

Abstrakty

EN

In this note we will construct several additive Darboux-like functions f: R −> R answering some problems from (an earlier version of) [4]. In particular, in Section 2 we will construct, under different additional set theoretical assumptions, additive almost continuous (in sense of Stallings) functions f: R −> R whose graph is either meager or null in the plane. In Section 3 we will construct an additive almost continuous function f: R −>R which has the Cantor intermediate value property but is discontinuous on any perfect set. In particular, such an f does not have the strong Cantor intermediate value property.

Słowa kluczowe

EN

additive; Darboux; almost continuous functions

PL

dodatek; prawie ciągłość funkcji

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 1998
• Tom: Vol. 4, nr 1
• Strony: 43--51
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Ciesielski K.

• Department of Mathematics West Virginia University Morgantown , WV 26506-6310 USA,