Analysis on topological manifolds
Analytic Baire spaces
We generalize to the non-separable context a theorem of Levi characterizing Baire analytic spaces. This allows us to prove a joint-continuity result for non-separable normed groups, previously known only in the separable context.
Analytic sets with countable sections
Anosov theorem for coincidences on nilmanifolds
Suppose that L, L’ are simply connected nilpotent Lie groups such that the groups and in their lower central series have the same dimension. We show that the Nielsen and Lefschetz coincidence numbers of maps f,g: Γ∖L → Γ’∖L’ between nilmanifolds Γ∖L and Γ’∖L’ can be computed algebraically as follows: L(f,g) = det(G⁎ - F⁎), N(f,g) = |L(f,g)|, where F⁎, G⁎ are the matrices, with respect to any preferred bases on the uniform lattices Γ and Γ’, of the homomorphisms between the Lie algebras , ’ of...
Another application of the Effros theorem to the pseudo-arc
Another characterization of absolute stability
The absolute stability of a compact set is characterized in terms of a fundamental system of positive invariant neighborhoods.
Another Generalization of Arhangel'skii's Theorem
MSC 2010: 54A25, 54A35.
Another generalization of the Dugundji extension theorem
Another geometric proof of supercompactness of compact metric spaces
Another look at the localic Tychonoff theorem
Another note on almost continuous mappings and Baire spaces.
Another note on closed -cells in
Another note on countable Boolean algebras
We prove that a Boolean algebra is countable iff its subalgebra lattice admits a continuous complementation.
Another note on Kempisty's generalized continuity.
Another note on Levine's decomposition of continuity.
Another note on nearly paracompact spaces
Another proof that a chain of non-empty H-closed subspaces has a non-empty intersection
Another property of the Sorgenfrey line
Another semigroup characterization of the simple closed curve.
Another universal metacompact developable -space of weight m