Approximate maxima

Richard O'Malley

Displaying similar documents to “Approximate maxima”

Density covers

A. M. Bruckner, Charles L. Thorne (1973)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Separate approximate continuity and strong approximate continuity

Richard J. O'Malley (1985)

Colloquium Mathematicae

Similarity:

Category theorems concerning Z-density continuous functions

K. Ciesielski, L. Larson (1991)

Fundamenta Mathematicae

Similarity:

The ℑ-density topology $T_{ℑ}$ on ℝ is a refinement of the natural topology. It is a category analogue of the density topology [9, 10]. This paper is concerned with ℑ-density continuous functions, i.e., the real functions that are continuous when the ℑ-densitytopology is used on the domain and the range. It is shown that the family $C_{ℑ}$ of ordinary continuous functions f: [0,1]→ℝ which have at least one point of ℑ-density continuity is a first category subset of C([0,1])= f: [0,1]→ℝ: f is continuous...