Faculty of Science
http://hdl.handle.net/10311/16
2017-10-24T00:34:03ZOn cartesian nets and fubini-tonelli type theorem
http://hdl.handle.net/10311/1713
On cartesian nets and fubini-tonelli type theorem
Robdera, Mangatiana A.
The notion of Cartesian net is introduced in order to provide an appropriate setting for the notion of double limit for directed functions defined on Cartesian products of spaces. As an application, we obtain extensions of the Fubini-Tonelli type theorem to the setting of the extended notion of integrability recently introduced.
Original research paper
2017-04-01T00:00:00ZOn size function topology and fixed point theorems
http://hdl.handle.net/10311/1712
On size function topology and fixed point theorems
Robdera, Mangatiana A.
In this paper, we introduce and study a metric-like (non-necessarily metric) topology that is weaker than the original topology of a given topological space. The results are used to provide more useful and more general versions of some of the classical fixed point theorems.
2017-06-01T00:00:00ZUnconditional integrability with application to ergodic theorem
http://hdl.handle.net/10311/1711
Unconditional integrability with application to ergodic theorem
We present a straightforward introduction to the unconditional integrability in the extended sense. We
state and proof useful necessary and sufficient conditions for unconditional integrability of complex or
real valued functions. As an application, we obtain a simpler direct proof of mildly extended version of
the Birkhoff’s pointwise ergodic theorem.
Original research paper
2017-08-07T00:00:00ZFly maggots (Diptera: Calliphoridae, Muscidae) and associated microorganisms in Gaborone
http://hdl.handle.net/10311/1710
Fly maggots (Diptera: Calliphoridae, Muscidae) and associated microorganisms in Gaborone
Allotey, Joseph; Randome, I.; Morobe, I.C.; Monnakopo, P.
Synathropic species of flies carry pathogenic organisms that result in diseases such as bacillary dysentery, salmonellosis, cholera and diarrhea. Microorganisms associated with fly maggots were isolated and identified in the present study in Gaborone. Fly maggots were collected randomly from four geographical areas of Gaborone i.e. Tlokweng, Ledumang, University of Botswana campus and Maruapula. The external and internal microbes of the fly maggots were isolated and examined microscopically. Determination of aerobic mesophilic and psychrotrophic plate counts were conducted. Tests for yeasts and molds were also done. Biochemical characterization, identification and confirmation of microbial isolates were done using Analytical Profile Index (API 20E) and Vitek II. Colony counts ranged from 1.4x10³ to 8.3x10³ colony forming units (CFU/g). Salmonella spp. was a common isolate in all the geographical areas while Providencia stuartii, Pseudomonas aeruginosa, Pseudomonas fluorescens and Citrobacter braakii were only identified in maggots from Tlokweng. The most common species of flies in Gaborone identified from the maggots were Chrysomyia megacephala and Musca domestica, and few syrphid spp. The microorganism isolated from the maggots of these flies can be given as Salmonella spp., Salmonella arizonae, Klebsiela oxytoca, Enterobacter cloacae, Providencia stuartii, Pseudomonas aeruginosa, Pseudomonas fluorescens and Citrobacter braakii with Salmonella spp. as the dominant species.
2017-01-01T00:00:00Z