A decomposition theorem for $E^{4}$

A Decomposition Theorem for Domains

A domain constructor that generalizes the product is de ned. It is shown that with this constructor exactly the prime-algebraic coherent Scott-domains and the empty set can be generated from two-chains and boolean at domains. 3 List of Symbols I am identifying the symbols by the corresponding Latex(+Amssymb)-symbols. " uparrow # downarrow ! rightarrow ? bot > top leq geq 2 in W bigvee V bigwedg...

A Martingale Decomposition Theorem

A Cohomology Decomposition Theorem

In [9] Jackowski and McClure gave a homotopy decomposition theorem for the classifying space of a compact Lie group G; their theorem states that for any prime p the space BG can be constructed at p as the homotopy direct limit of a specific diagram involving the classifying spaces of centralizers of elementary abelian p-subgroups of G. In this paper we will prove a parallel algebraic decomposit...

A Decomposition Theorem for Herman Maps

In 1980s, Thurston established a topological characterization theorem for postcritically finite rational maps. In this paper, a decomposition theorem for a class of postcritically infinite branched covering termed ‘Herman map’ is developed. It’s shown that every Herman map can be decomposed along a stable multicurve into finitely many Siegel maps and Thurston maps, such that the combinations an...

A Convex Decomposition Theorem for 4-Manifolds

An exact manifold with pseudoconvex boundary (PC manifold, for short) is a compact complex manifold X, which admits a strictly pluri-subharmonic Morse function ψ, such that the set of maximum points of ψ coincides with the boundary ∂X. We prefer the term PC manifold, since the combination of words “compact Stein manifold” is likely to precipitate heart palpitations in some mathematicians. Such ...