Let X be a connected topological space and c∈H2(X;Z) non-zero cohomology class. A Homeo(X,c)-bundle is fiber bundle with whose structure group reduces to the Homeo(X,c) of c-preserving homeomorphisms X. If H1(X;Z)=0, then characteristic class for Homeo(X,c)-bundles called Dixmier-Douady defined via Serre spectral sequence. We show relation between universal foliated gauge extension Homeo(X,c). ...

In this article we introduce the notion of n-capable groups. It is shown that every group G admits a uniquely determined subgroup (〖Z^n)〗^* (G) which is a characteristic subgroup and lies in the n-centre subgroup of the group G. This is the smallest subgroup of G whose factor group is n-capable. Moreover, some properties of n-central extension will be studied.

the purpose of this study was to investigate the influence of entrepreneurship on organizational outcomes agricultural extension in the context of agricultural sustainable development. this paper aimed to identify the key dimensions of entrepreneurship and determine how these dimensions influence the outcomes of agricultural extension organizations in the context of agricultural sustainable dev...

In this paper, we study the notion of solvable $L$-subgroup of an $L$-group and provide its level subset characterization and this justifies the suitability of this extension. Throughout this work, we have used normality of an $L$-subgroup of an $L$-group in the sense of Wu rather than Liu.

The present investigation aimed to evaluate the effect of turmeric on shelf life extension of shrimp Penaeus semisulcatus under chilled storage conditions by sensory (organoleptic parameters), pH, proximate and bacterial analysis. The experimental setup was grouped into six, head on (group I), head on coated with turmeric (group II), headless (group III), headless coated with turmeric (group IV...