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Shape invariance of N-compactifications Alonso Morón, Manuel Romero Ruiz Del Portal, Francisco Rodríguez Sanjurjo, José Manuel 515.143 515.122.536 Shape N-compactness N-compactification Quasicomponent 0-dimensional space Topología 1210 Topología We use N-compactifications of 0-dimensional spaces to obtain a new shape invariant for the class of all topological spaces. We also point out that the shape and topological classifications are not the same in the realm of Tychonov spaces having a base of clopen sets. Finally we use the new shape invariant to obtain classes of spaces where the conditions ''to have the same shape'' and ''to be homeomorphic'' are equivalent. Dirección General de Investigación Científica y Técnica (España) Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T16:53:46Z 2023-06-20T16:53:46Z 1994-02-21 journal article https://hdl.handle.net/20.500.14352/57361 0166-8641 10.1016/0166-8641(94)90109-0 PB89-0122 Alonso Morón, M., Romero Ruiz Del Portal, F. y Rodríguez Sanjurjo, J. M., «Shape Invariance of N-Compactifications». Topology and Its Applications, vol. 56, n.o 1, febrero de 1994, pp. 63-71. DOI.org (Crossref), https://doi.org/10.1016/0166-8641(94)90109-0. metadata only access Elsevier Science