Recent classification and characterization results in geometric topology

DOI10.1090/S0273-0979-1990-15887-2zbMath0713.57011OpenAlexW2117811421MaRDI QIDQ3198552

Jerzy Mogilski, Jan van Mill, Jan J. Dijkstra, Witold Marciszewski, Tadeusz Dobrowolski

Publication date: 1990

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15887-2

zbMATH Keywords

function spaceANRHilbert space manifoldcompletely regular spacepseudoboundarypseudointeriorstrong Z-setgeneralized absorberstrongly negligible sets

Mathematics Subject Classification ID

Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Topology of infinite-dimensional manifolds (57N20)

Related Items (3)

Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory ⋮ The topological product structure of systems of Lebesgue spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Function spaces homeomorphic to the countable product of \(\ell ^ f_ 2\)
• Strong negligibility of \(\sigma\)-compacta does not characterize Hilbert space
• k-dimensional skeletoids in \({\mathbb{R}}^ n\) and the Hilbert cube
• Characterizing certain incomplete infinite-dimensional absolute retracts
• On topological and linear homeomorphisms of certain function spaces
• The ambient homeomorphy of an incomplete subspace of infinite-dimensional Hilbert spaces
• Function Spaces of Low Borel Complexity
• Characterizing the Topology of Infinite-Dimensional σ-Compact Manifolds
• Characterizing Hilbert space topology
• On Topological Classification of Function Spaces C p (X) of Low Borel Complexity
• Classification of Finite-Dimensional Universal Pseudo-Boundaries and Pseudo-Interiors
• Certain Sequence and Function Spaces Homeomorphic to the Countable Product of l ² _f
• Concerning the Shapes of Finite-Dimensional Compacta
• Pseudo-Boundaries and Pseudo-Interiors in Euclidean Spaces and Topological Manifolds
• Hilbert space is homeomorphic to the countable infinite product of lines
• Strongly negligible sets in Fréchet manifolds

This page was built for publication: Recent classification and characterization results in geometric topology