The paper studies applications of C*-algebras in geometric topology. Namely, a covariant functor from the category of mapping tori to a category of AF-algebras is constructed; the functor takes continuous maps between such manifolds to stable homomorphisms between the corresponding AF-algebras. We use this functor to develop an obstruction theory for the torus bundles of dimension 2, 3 and 4. In conclusion, we consider two numerical examples illustrating our main results., Igor Nikolaev., and Obsahuje seznam literatury
In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete.
Let $\Delta $ and $H$ be a nonzero abelian linearly ordered group or a nonzero abelian lattice ordered group, respectively. In this paper we prove that the wreath product of $\Delta $ and $H$ fails to be affine complete.
Identities for the curvature tensor of the Levi-Cività connection on an almost para-cosymplectic manifold are proved. Elements of harmonic theory for almost product structures are given and a Bochner-type formula for the leaves of the canonical foliation is established.
It is shown that under the name Mocis frugalis (F., 1775), considered to represent a widespread pest of graminaceous crops in the Eastern hemisphere and the Pacific, two species have been hitherto confused. Populations from Africa and Arabian Peninsula are described as Mocis proverai sp. n. The main characters which distinguish the African-Arabian M. proverai from M. frugalis of Asia and the Pacific are found in the genitalia, especially the configuration of the male vesica and female bursa copulatrix.
Afroaltica subaptera, a new genus and species of flea beetles (Chrysomelidae: Alticinae) from the eastern regions of southern Africa (Eastern Transvaal and Kwazulu-Natal), is described. Afroaltica gen. n. shows some similarities with the genus Dibolia Latreille, 1829 but it is easily distinguishable mainly by the simple-shaped apical spur of hind tibiae, not bifid. External habitus, scanning electronic micrographs of particular morphological features and line drawings of metafemoral spring and male and female genitalia of the new taxon are provided.
Based on the study of type material, two new genera of cestodes (Cyclophyllidea: Anoplocephalidae) are proposed for Paranoplocephala Lühe, 1910 sensu lato species from African rodents. Afrojoyeuxia gen. n., proposed for A. gundii (Joyeux, 1923) comb. n. from Ctenodactylus gundi (Rothmann) (Hystricomorpha: Ctenodactylidae), is characterized by a high length/width ratio of mature proglottids, longitudinally extensive testicular field positioned anterior to the female glands, an ovoid or subspherical cirrus-sac and a thick, conical cirrus. Hunkeleriella gen. n., proposed for H. dasymidis (Hunkeler, 1972) comb. n. from Dasymys incomtus (Sundevall) (Myomorpha: Muridae), differs from related genera mainly by its short (10-20 mm) and wide strobila and neck, unilateral genital pores (exceptionally with a few changes per strobila), the position of the genital pores (slightly anterior to the middle of proglottid margin) and initially tube-like early uterus (later reticulated). Parandrya Gulyaev et Chechulin, 1996, earlier suggested to be a junior synonym of Paranoplocephala, is considered to be a valid, independent genus. Evidence of non-monophyly and need for a taxonomic revision of Paranoplocephala sensu lato, as well as the phylogenetic position of A. gundii and H. dasymidis are discussed.
This paper reports the collecting of adult beetles and third-instar larvae of Coelocorynus desfontainei Antoine, 1999 in Cameroon and provides new data on the biology of this high-altitude Afromontane genus. It also presents the first diagnosis of this genus based on larval characters and examination of its systematic position in a phylogenetic context using 78 parsimony informative larval and adult characters. Based on the results of our analysis we (1) support the hypothesis that the tribe Trichiini is paraphyletic with respect to both Valgini and the rest of the Cetoniinae, and (2) propose that the Trichiini subtribe Cryptodontina, represented by Coelocorynus, is a sister group of the Valgini: Valgina, represented by Valgus. The larvae-only analyses were about twofold better than the adults-only analyses in providing a phylogenetic resolution consistent with the larvae + adults analyses. Only one of the ten clades was consistently supported by the analyses of both the larval and adult datasets, while the remaining nine were invariably strongly supported by one but not the other analysis, thus highlighting the importance of employing different data sources.
A new genus, Afromuelleria gen. n., assigned to the tribe Trachyphloeini Lacordaire, 1863, is described for four South African species of weevils: A. awelani sp. n., A. baobab sp. n., A. limpopo sp. n. and A. venda sp. n. All species are illustrated and keyed. Taxonomic status of the new genus is discussed and compared with similar genera of Trachyphloeini and Embrithini Marshall, 1942.