Almost continuity
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Publication:1194652
zbMath0760.54007MaRDI QIDQ1194652
Publication date: 5 October 1992
Published in: Real Analysis Exchange (Search for Journal in Brave)
Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Real-valued functions in general topology (54C30)
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Local connectivity functions on arcwise connected spaces and certain continua ⋮ On functions whose graph is a Hamel basis ⋮ Cardinal coefficients related to surjectivity, Darboux, and Sierpiński-Zygmund maps ⋮ On ∞-entropy points in real analysis ⋮ Algebraic properties of the class of Sierpiński-Zygmund functions ⋮ Examples of Sierpiński-Zygmund maps in the class of Darboux-like functions ⋮ Lineability of the functions that are Sierpiński-Zygmund, Darboux, but not connectivity ⋮ Almost continuous Sierpiński-Zygmund functions under different set-theoretical assumptions ⋮ Additivity and lineability in vector spaces ⋮ Algebrability of some families of Darboux-like functions ⋮ STABLE, ALMOST STABLE AND ODD POINTS OF DYNAMICAL SYSTEMS ⋮ Lineability, spaceability, and additivity cardinals for Darboux-like functions ⋮ Lineability criteria, with applications ⋮ Quotients of peripherally continuous functions ⋮ Different notions of Sierpiński-Zygmund functions ⋮ \( \mathfrak{c} \)-lineability: a general method and its application to Darboux-like maps ⋮ Some characterizations of COTS with endpoints ⋮ Maximal lineability of several subclasses of Darboux-like maps on \(\mathbb{R}\) ⋮ On functions that are almost continuous and perfectly everywhere surjective but not Jones. Lineability and additivity ⋮ Cardinal invariants concerning bounded families of extendable and almost continuous functions ⋮ Cardinal invariants concerning closed graph functions ⋮ Quotients of cliquish functions on some interval or on no interval ⋮ Topological dimension and sums of connectivity functions ⋮ Lineability and additivity in \(\mathbb R^{\mathbb R}\) ⋮ Additivity coefficients for all classes in the algebra of Darboux-like maps on \(\mathbb{R}\) ⋮ A century of Sierpiński-Zygmund functions ⋮ Linear subsets of nonlinear sets in topological vector spaces ⋮ Sum of Sierpiński-Zygmund and Darboux like functions
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