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We consider antiform b-convergence as a common generalization of preuniform convergence, well-known point-convergences and suitable set-convergences as well. The corresponding defined category ab-CONV is a topological construct which is cartesian closed. Then the above mentioned categories can be nicely embedded into ab-CONV. Moreover, we will establish a one-to-one correspondence between some b-convergence and the related symmetric strict topological extension.

Produktbeschreibung
We consider antiform b-convergence as a common generalization of preuniform convergence, well-known point-convergences and suitable set-convergences as well. The corresponding defined category ab-CONV is a topological construct which is cartesian closed. Then the above mentioned categories can be nicely embedded into ab-CONV. Moreover, we will establish a one-to-one correspondence between some b-convergence and the related symmetric strict topological extension.
Autorenporträt
Leseberg, Dieter, math.; b.Berlin, Mar.26,1947; m. Dipl. FU Berlin,1974, Doctor,1980, habil.,1995,EDP org. Siemens AG, Berlin,1974; lect. high sch., Berlin,1974-76;ref. libr. GHB Kassel,1979-80, L-Sch., Frankfurt,1980-81;with Inst.Care M., Hannover,1983-85; lect. U.Hannover,1984; sci.libr. TU Braunschweig,1985-2012,lect. FU Berlin,1990-2014.