A May-type spectral sequence for higher topological Hochschild
... proven in Theorems 6.0.16 and 6.0.19). For example, in [1], G. Angelini-Knoll uses these spectral sequences to compute the topological Hochschild homology of the algebraic Ktheory spectra of a large class of finite fields. In lieu of explicit computations using our new spectral sequences, we point o ...
... proven in Theorems 6.0.16 and 6.0.19). For example, in [1], G. Angelini-Knoll uses these spectral sequences to compute the topological Hochschild homology of the algebraic Ktheory spectra of a large class of finite fields. In lieu of explicit computations using our new spectral sequences, we point o ...
TOPOLOGICAL GROUPS - PART 1/3 Contents 1. Locally compact
... f ∈ C(X, Y ), K ⊂ X compact , ² > 0} is a base for a topology on C(X, Y ). This topology is TU C . (ii) TCO , compact-open topology: The subbase {S(K, V ) : K ⊂ X compact ,V ⊂ Y open} generates this topology, where S(K, V ) = {f ∈ C(X, Y ) : f (K) ⊂ V }. [Remark : TP C , the topology of pointwise co ...
... f ∈ C(X, Y ), K ⊂ X compact , ² > 0} is a base for a topology on C(X, Y ). This topology is TU C . (ii) TCO , compact-open topology: The subbase {S(K, V ) : K ⊂ X compact ,V ⊂ Y open} generates this topology, where S(K, V ) = {f ∈ C(X, Y ) : f (K) ⊂ V }. [Remark : TP C , the topology of pointwise co ...
Concerning topological convergence of sets
... 3.4. The closure operator С defined in 2.15 satisfies the condition (iV) of 2.15. It follows that С defines a topology for the set Щ. This topology will be called the topology induced by the topological convergence. The space $ will be denoted by 2P. This topology agrees with usual topology for 2P. ...
... 3.4. The closure operator С defined in 2.15 satisfies the condition (iV) of 2.15. It follows that С defines a topology for the set Щ. This topology will be called the topology induced by the topological convergence. The space $ will be denoted by 2P. This topology agrees with usual topology for 2P. ...
GENTLY KILLING S–SPACES 1. Introduction and Notation In
... in which there are neither Q–sets nor locally compact, locally countable, hereditarily normal S–spaces. We provide such a model in this paper. In fact, in our model 2ℵ0 < 2ℵ1 (so in particular there are no Q–sets) and there are no locally compact, first countable S–spaces at all (hence no locally co ...
... in which there are neither Q–sets nor locally compact, locally countable, hereditarily normal S–spaces. We provide such a model in this paper. In fact, in our model 2ℵ0 < 2ℵ1 (so in particular there are no Q–sets) and there are no locally compact, first countable S–spaces at all (hence no locally co ...
Galois Extensions of Structured Ring Spectra
... form of the étale- and Galois descent foreseen by Dan Quillen, and (3) the algebrogeometric perspective promulgated by Jack Morava, on how the height-stratified moduli space of formal group laws influences stable homotopy theory, by way of complex cobordism theory. We here develop the arithmetic no ...
... form of the étale- and Galois descent foreseen by Dan Quillen, and (3) the algebrogeometric perspective promulgated by Jack Morava, on how the height-stratified moduli space of formal group laws influences stable homotopy theory, by way of complex cobordism theory. We here develop the arithmetic no ...
International Journal of Pure and Applied Mathematics
... that χA is the characteristic function of A, and the crisp topological space (X, [T ]) is called original topological space of (X, T ). Definition 4. (see [13]) A fuzzy topological space (X, T ) is called a week induction of the topological space (X, T0 ) if [T ] = T0 and each element of T is lower ...
... that χA is the characteristic function of A, and the crisp topological space (X, [T ]) is called original topological space of (X, T ). Definition 4. (see [13]) A fuzzy topological space (X, T ) is called a week induction of the topological space (X, T0 ) if [T ] = T0 and each element of T is lower ...
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.