On uniformly dense and m-dense subsets of C(X).
M.ª Isabel Garrido, Francisco Montalvo (1991)
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M.ª Isabel Garrido, Francisco Montalvo (1991)
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Jack Brown (1974)
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Rose, David A. (1998)
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The ℑ-density topology 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 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...
Rose, David, Sizemore, Kari, Thurston, Ben (2006)
International Journal of Mathematics and Mathematical Sciences
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