Gallego Lupiáñez, Francisco2023-06-202023-06-202008R.D. Anderson: ”Hilbert space is homeomorphic to the countable infinite product of lines”, Bull. Amer. Math. Soc. 72 (1966), 515-519. C. Bessaga and A. Pelczy'nski: ”Select topics in infinite-dimensional Topology”, PWN-Polish Sc.Publ. (Warszawa, 1975). H.H. Corson: ”Collections of convex sets which cover a Banach space”,Fund. Math. 49 (1961), 143-145. R.B. Holmes: ”Geometric fuctional Analysis and its applications”, Spriger-Verlag (New York, 1975). M.I. Kadec: ”On topological equivalence of separable Banach space”,Soviet Math. Dokl. 7 (1966), 319-322. F.G. Lupiañez: ”Total paracompactness and Banach spaces”, Proc.Amer. Math. Soc. 103 (1988), 210-214. K. Morita: ”Product of normal spaces with metric spaces”, Math. Annalen 154 (1964), 365-382. J. Nagata: ”A note on M-space and topologically complete space”,Proc. Japan Acad. 45 (1969), 541-543.1312-7594https://hdl.handle.net/20.500.14352/50092We define in this paper the concept of C-space, related withM-spaces and Banach spaces. We obtain various properties on these spaces and propose some open problems.engjournal articlehttp://www.m-hikari.com/imf.htmlhttp://www.m-hikari.comopen access515.1517.98Topological spacesM-spacesBanach spacesEmbeddingAnálisis funcional y teoría de operadoresTopología1210 Topología