Ω versus graviphoton

Graviphoton and graviscalars delocalization in brane world scenarios

A manifestly gauge-invariant theory of gravitational fluctuations of brane-world scenarios is discussed. Without resorting to any specific gauge choice, a general method is presented in order to disentangle the fluctuations of the brane energymomentum from the fluctuations of the metric. As an application of the formalism, the localization of metric fluctuations on scalar branes breaking sponta...

Localization of graviphoton and graviscalar on the brane

The question of whether the Kaluza-Klein (KK) graviphoton h 5µ and graviscalar h 55 are localized or not on the brane is one of the important issues. In this letter, we address this problem in five dimensions. Here we consider the massless (zero-mode) propagations without requiring the Z 2-symmetry on h 5µ. We obtain the graviton h µν , graviphoton, and graviscalar exchange amplitudes on shell....

Weak ω-Categories as ω-Hypergraphs

In this paper, firstly, we introduce a higher-dimensional analogue of hypergraphs, namely ω-hypergraphs. This notion is thoroughly flexible because unlike ordinary ω-graphs, an n-dimensional edge called an n-cell has many sources and targets. Moreover, cells have polarity, with which pasting of cells is implicitly defined. As examples, we also give some known structures in terms of ω-hypergraph...

On Total Ω-continuity, Strong Ω-continuity and Contra Ω-continuity by N. Rajesh

In this paper, ω-closed sets and ω-open sets are used to define and investigate a new class of functions. Relationships between this new class and other classes of functions are established.

Contra-ω-Continuous and Almost Contra-ω-Continuous