Notes on star Lindelöf space

More on rc-Lindelöf sets and almost rc-Lindelöf sets

A subset A of a space X is called regular open if A = IntA, and regular closed if X\A is regular open, or equivalently, if A= IntA. A is called semiopen [16] (resp., preopen [17], semi-preopen [3], b-open [4]) ifA⊂ IntA (resp.,A⊂ IntA,A⊂ IntA ,A⊂ IntA∪ IntA). The concept of a preopen set was introduced in [6] where the term locally dense was used and the concept of a semi-preopen set was introd...

On Productively Lindelöf Spaces

We study conditions on a topological space that guarantee that its product with every Lindelöf space is Lindelöf. The main tool is a condition discovered by K. Alster and we call spaces satisfying his condition Alster spaces. We also study some variations on scattered spaces that are relevant for this question.

Notes on Fock Space

These notes are intended as a fairly self contained explanation of Fock space and various algebras that act on it, including a Clifford algebras, a Weyl algebra, and an affine Kac-Moody algebra. We also discuss how the various algebras are related, and in particular describe the celebrated boson-fermion correspondence. We finish by briefly discussing a deformation of Fock space, which is a repr...

LECTURE NOTES ON The Star Complement Technique

Notes on de Sitter space

The Lorentz n–group is the group of “isometries” (transformations preserving the inner product) of Minkowski space, fixing 0, and preserving the time direction. This implies that a Lorentz transformation is an linear isomorphism of Rn as a vector space. If, in addition to preserving the time direction, we also preserve space orientation then the group can be denoted SO(1, n − 1). Notice that a ...