Falcón Ganfornina, Raúl ManuelNúñez Valdés, Juan2018-01-162018-01-162005Falcón Ganfornina, R.M. y Núñez Valdés, J. (2005). Recent advances on Tsagas-Sourlas-Santilli isotopology. Nonlinear Functional Analysis and Applications, 10 (5), 873-883.1229-1595https://hdl.handle.net/11441/69069Because the Lie Theory solely applies to linear systems, in 1978 Santilli proposed the isotopic lifting of Lie’s theory for nonlinear systems, today known as the Lie-Santilli isotheory, via the reconstruction of linearity on the isotopic lifting of spaces and fields. In order to identify the proper mathematical background of the Lie-Santilli isotheory, Kadeisvili introduced in 1992 the notion of isocontinuity; Tsagas and Sourlas proposed in 1995 a for of isotopology defined over conventional fields; Santilli extended it in 1996 its formulation on isofields; and the authors conducted in 2003 a systematic study of the new isotopology. In this paper we outline the foundation of the new isotopology and present various advances.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 InternacionalAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess