Let G be a locally compact Abelian topological group having a countable basis of its topology. We also suppose that G has the T0–property, that is, ⋂ U∈Ne U = {e}, where e denotes the identity element of G and Ne is the collection of all Borel neighbourhoods of e. (By a Borel neighbourhood U of e we mean a Borel subset of G for which there exists an open subset Ũ of G such that e ∈ Ũ ⊂ U.) Let ...

Nilpotency for discrete groups can be defined in terms of central extensions. In this paper, the analogous definition for spaces is stated in terms of principal fibrations having infinite loop spaces as fibers, yielding a new invariant we compare with classical cocategory, but also with the more recent notion of homotopy nilpotency introduced by Biedermann and Dwyer. This allows us to character...

What is the set of p~, ib le s'aines ~d" a n~asnremem error? In the majority of practical applications, an error is caused m~ 1~, a single cause; it is camaL.d by. a large mtmber of inclependent causes, each of which adds a small O.nlxment to the t(aal error. This fact is widely used in v, atistics: Namely, since it is known that the distlilxltitm ~d" the snm o( many independent stnali random v...

We consider a generalized semi-infinite programming problem (GSIP) with one semi-infinite constraint where the index set depends on the variable to be minimized. Keeping in mind the integral global optimization method of Zheng & Chew and its modifications we would like to outline theoretical considerations for determining coarse approximations of a solution of (GSIP) via global optimization of ...

the purpose of this study was to describe the feasibility of a combined preoperative chemoradiation program ib-iia, bulky and suspicious iib by radical surgery in patients with stage ib-iib cervical cancer. from september 1999 to april 2002, 30 patients with carcinoma of the cervix were treated with preoperative external beam radiotherapy of 45 gy in 5 weeks. patients received concurrent contin...

breast sarcomas have relatively been rare and accounted for 1% of all primary malignant tumors of the breast. pure and primary chondrosarcoma of the male breast would be an extremely rare tumor. it might arise either from the breast stroma itself, or from underlying bone or cartilage. a 65-year-old man has presented with a rapidly growing breast mass since 5 months. physical examination has est...

trichomoniasis, the most widespread sexually transmitted disease is caused by trichomonas vaginalis. this parasite is site specific for the genitourinary tract and recruitment of macrophages as well as polymorphonuclear nutrophils (pmn) to the site of infection is the first line of defense as a component of non-specific resistance and immunity. in this study, balb/c mice were infected with 10 i...

Generalized semi-infinite optimization problems (GSIP) are considered. The difference between GSIP and standard semi-infinite problems (SIP) is illustrated by examples. By applying the ’Reduction Ansatz’, optimality conditions for GSIP are derived. Numerical methods for solving GSIP are considered in comparison with methods for SIP. From a theoretical and a practical point of view it is investi...