Selections and Higher Separation Axioms

zbMath1479.54041arXiv1805.07638MaRDI QIDQ5015845

Valentin G. Gutev

Publication date: 9 December 2021

Full work available at URL: https://arxiv.org/abs/1805.07638

zbMATH Keywords

surveyreflexive Banach spaceset-valued mappingcontinuous extensioncontinuous selectionfinite-dimensional spaceinfinite-dimensional spacelower semi-continuous

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Homotopy extension properties, cofibrations in algebraic topology (55P05) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Selections in general topology (54C65) Dimension theory in general topology (54F45) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Extension of maps (54C20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Duality and reflexivity in normed linear and Banach spaces (46B10) Research exposition (monographs, survey articles) pertaining to general topology (54-02) Reflexivity and semi-reflexivity (46A25) Higher-dimensional local connectedness (54F35)

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