Countable approximation of topological \(G\)-manifolds. III: Arbitrary Lie groups

zbMath1490.57032arXiv1905.09977MaRDI QIDQ2075865

Qayum Khan

Publication date: 16 February 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09977

zbMATH Keywords

Lie groupproper actionCW complextopological manifold

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Algebraic topology of manifolds (57N65) Noncompact Lie groups of transformations (57S20)

Related Items (2)

Cardinal-indexed classifying spaces for families of subgroups of any topological group ⋮ On the existence of isovariant extensors for actions of locally compact groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Universal G-spaces for proper actions of locally compact groups
• Countable approximation of topological \(G\)-manifolds: compact Lie groups \(G\)
• Construction of universal bundles. I
• Equivariant embeddings in euclidean space
• On the existence of slices for actions of non-compact Lie groups
• Transformation groups
• An equivariant extension theorem and G-retracts with a finite structure
• Extension of G-maps and euclidean G-retracts
• A universal proper G-space
• Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory
• Invariant pseudometrics on Palais proper \(G\)-spaces
• Orbit spaces and unions of equivariant absolute neighborhood extensors
• Extensorial properties of orbit spaces of proper group actions
• Equivariant cohomology and stable cohomotopy
• A characterization of \(G\)-ANR and \(G\)-AR spaces for proper actions of Lie groups
• Topological rigidity and \(H_1\)-negative involutions on tori
• Klassifikation numerierbarer Bündel
• On \(C^1\)-complexes
• On some types of topological groups
• Convergence in topology
• An extension of Tietze's theorem
• A cohomological definition for locally compact Hausdorff spaces
• Une généralisation des espaces compacts
• A topology for spaces of transformations
• Compact groups of differentiable transformations
• Self-adjoint groups
• Topological rigidity and actions on contractible manifolds with discrete singular set
• Proper actions on cohomology manifolds
• On a Problem of Montgomery
• Seminar on Transformation Groups. (AM-46)
• Equivariant embedding of metrizable $G$-spaces in linear $G$-spaces
• The equivariant homotopy type of G-ANR's for proper actions of locally compact groups
• The Equivariant Extension Theorem
• Characterizations of proper actions
• A contribution to the theory of dimension
• The product of a normal space and a metric space need not be normal
• The classification of 𝐺-spaces
• A remark on method in transfinite algebra
• Paracompactness and product spaces
• Combinatorial homotopy. I
• INDUCTIVE DIMENSION OF COMPLETELY NORMAL SPACES
• A theorem of Lie groups
• The \(G\)-homotopy type of proper locally linear \(G\)-manifolds. II

This page was built for publication: Countable approximation of topological \(G\)-manifolds. III: Arbitrary Lie groups