Normality

Normality, Projective Normality and Egz Theorem

In this note, we prove that the projective normality of (P(V )/G,L), the celebrated theorem of Erdös-Ginzburg-Ziv and normality of an affine semigroup are all equivalent, where V is a finite dimensional representation of a finite cyclic group G over C and L is the descent of the line bundle O(1)⊗|G|.

σ-Normality of Topological Spaces

Normality in Analytical Psychology

Although C.G. Jung's interest in normality wavered throughout his career, it was one of the areas he identified in later life as worthy of further research. He began his career using a definition of normality which would have been the target of Foucault's criticism, had Foucault chosen to review Jung's work. However, Jung then evolved his thinking to a standpoint that was more aligned to Foucau...

Defining Normality and Abnormality

Much of the practice and research conducted by clinical psychologists focuses on abnormality, also known as mental disorders, psychiatric diagnoses, or, more broadly, psychopathology. Through their training and their professional activities, clinical psychologists become very familiar with the definitions of various forms of abnormal behavior and the ways it differs from normal behavior. But be...

Resolvability and Monotone Normality

A space X is said to be κ-resolvable (resp. almost κ-resolvable) if it contains κ dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subsets). X is maximally resolvable iff it is ∆(X)-resolvable, where ∆(X) = min{|G| : G 6= ∅ open}. We show that every crowded monotonically normal (in short: MN) space is ω-resolvable and almost μ-resolvable, where μ = mi...