Abstract
The previous chapters outlined the important role played by the convergent sequences in their relationship with the topological theory of metric spaces.
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References
Gelbaum, B.R., Olmsted, J.M.H.: Theorems and Counterexamples in Mathematics. Springer, Berlin (1990)
Lacey, H.E.: The Isometric Theory of Classical Banach Spaces. Springer, Berlin (1974)
Benyamini, Y.: Applications of the universal surjectivity of the Cantor set. Am. Math. Mon. 105, 832–839 (1998)
Velleman, D.J.: Characterizing continuity. Am. Math. Mon. 104(4), 318–322 (1997)
Vallin, R.W.: Creating slowly oscillating sequences and slowly oscillating continuous functions, with an appendix by Vallin and H. Çakalli. Acta Math. Univ. Comen. 25(1), 71–78 (2011)
Lebesgue, H.: Leçons sur l’intégration et la recherche des fonctions primitives (2nd edn., 1928), Gauthier-Villars, Paris (1904)
Neuser, D.A., Wayment, S.G.: A note on the intermediate value property. Am. Math. Mon. 81, 995–997 (1974)
Sierpiński, W.: Sur une propriété des fonctions réelles quelconques. Le Matematiche VIII(2), 43–48 (1953)
Baire, R.: Sur les fonctions de variables réelles. Annali di Matematica Pura ed Applicata, Series 3(3), 1–123 (1899)
Gordon, R.A.: The integrals of Lebesgue, Denjoy, Perron and Henstock. Graduate Studies in Mathematics, vol. 4. American Mathematical Society, Providence (1994)
Natanson, I.P.: Theory of Functions of a Real Variable. New York, Frederick Ungar, vol. 1 (1955) and vol. 2 (1961)
Fine, B., Rosenberger, G.: The Fundamental Theorem of Algebra. Springer, New York (1997)
Froda, A.: Sur l’ensemble des discontinuités de premiére espece. C. R. Acad. Sci. Paris 186, 728–729 (1928)
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Choudary, A.D.R., Niculescu, C.P. (2014). Continuous Functions. In: Real Analysis on Intervals. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2148-7_6
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DOI: https://doi.org/10.1007/978-81-322-2148-7_6
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