A New Type of Weak Continuity 1 Introduction
... Definition 4.8 A subset A of a space X is said to be sgα-closed relative to X [5] if for every cover {Vα : α ∈ Λ} of S A by sgα-open sets of X, there exists a finite subset Λ0 of Λ such that A ⊂ {sgα-Cl(Vα ) | α ∈ Λ0 }. Theorem 4.9 If f : (X, τ ) → (Y, σ) is a weakly sgα-continuous function and A is ...
... Definition 4.8 A subset A of a space X is said to be sgα-closed relative to X [5] if for every cover {Vα : α ∈ Λ} of S A by sgα-open sets of X, there exists a finite subset Λ0 of Λ such that A ⊂ {sgα-Cl(Vα ) | α ∈ Λ0 }. Theorem 4.9 If f : (X, τ ) → (Y, σ) is a weakly sgα-continuous function and A is ...
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 00, Number 0, Pages 000–000
... The domain of this map is the E2 -term of the Adams-Novikov spectral sequence for the homotopy groups of the sphere, while the range is, by definition, the AdamsNovikov E2 -term for formal A-modules. It is natural to ask whether this map of spectral sequences arises as a filtration of a map S → SA f ...
... The domain of this map is the E2 -term of the Adams-Novikov spectral sequence for the homotopy groups of the sphere, while the range is, by definition, the AdamsNovikov E2 -term for formal A-modules. It is natural to ask whether this map of spectral sequences arises as a filtration of a map S → SA f ...
Covering space
In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below. In this case, C is called a covering space and X the base space of the covering projection. The definition implies that every covering map is a local homeomorphism.Covering spaces play an important role in homotopy theory, harmonic analysis, Riemannian geometry and differential topology. In Riemannian geometry for example, ramification is a generalization of the notion of covering maps. Covering spaces are also deeply intertwined with the study of homotopy groups and, in particular, the fundamental group. An important application comes from the result that, if X is a ""sufficiently good"" topological space, there is a bijection between the collection of all isomorphism classes of connected coverings of X and the conjugacy classes of subgroups of the fundamental group of X.