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Literature Cited
Sz. Dolecki, “Tangency and differentiation: some applications of convergence theory,” Ann. Mat. Pura Applic.,130, 223–255 (1982).
J.-P. Penot, “Compact nets, filters and relations,” J. Math. Anal. Appl.,93, No. 2, 400–417 (1983).
R. V. Fuller, “Relations among continuous and various non-continuous functions,” Pac. J. Math.,25, No. 3, 495–509 (1968).
R. E. Smithson, “Subcontinuity for multifunctions,” Pac. J. Math.,61, No. 4, 283–288 (1975).
W. A. J. Luxemburg, “A general theory of monads,” in: Applications of Model Theory to Algebra, Analysis and Probability, Holt, Rinehart and Winston, New York (1969), pp. 18–86.
K. D. Stroyan and W. A. J. Luxemburg, Introduction to the Theory of Infinitesimals, Academic Press, New York (1976).
J. F. Aarnes and P. R. Andenaes, “On nets and filters,” Math. Scand.,31, No. 2, 285–292 (1972).
K. Kuratowsky, Topology, Vol. 1, Academic Press (1966).
S. S. Kutateladze, “Infinitesimal tangent cones,” Sib. Mat. Zh.,26, No. 6, 67–76 (1985).
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Dedicated to the fond memory of Leonid Vital'evich Kantorovich.
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 1, pp. 149–156, January–February, 1987.
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Kutateladze, S.S. Topological concepts similar to continuity. Sib Math J 28, 113–119 (1987). https://doi.org/10.1007/BF00970219
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DOI: https://doi.org/10.1007/BF00970219