Skeletally generated spaces and absolutes

zbMATH Open1336.54020arXiv1404.3417MaRDI QIDQ5174639

V. Valov

Publication date: 18 February 2015

Abstract: Some properties of skelatally generated spaces are established. In particular, it is shown that any compactum co-absolute to a $kappa$-metrizable compactum is skeletally generated. We also prove that a compactum $X$ is skeletally generated if and only if its superextension $lambdaX$ is skeletally Dugundji and raise some natural questions.

Full work available at URL: https://arxiv.org/abs/1404.3417

zbMATH Keywords

skeletal mapsuperextensionco-absoluteskeletally generated

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological characterizations of particular spaces (54F65) Spectra in general topology (54B35)

Related Items (1)

On inverse systems and cardinal functions of topological spaces

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