185 research outputs found
A Distinguished Subgroup of Compact Abelian Groups
No full textHere “group” means additive abelian group. A compact group G contains δ role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3eδ–subgroups, that is, compact totally disconnected subgroups Δ role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3eΔ such that G/Δ role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3eG/Δ is a torus. The canonical subgroup Δ(G) role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3eΔ(G) of G that is the sum of all δ role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3eδ–subgroups of G turns out to have striking properties. Lewis, Loth and Mader obtained a comprehensive description of Δ(G) role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3eΔ(G) when considering only finite dimensional connected groups, but even for these, new and improved results are obtained here. For a compact group G, we prove the following: Δ(G) role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3eΔ(G) contains tor(G) role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3etor(G), is a dense, zero-dimensional subgroup of G containing every closed totally disconnected subgroup of G, and G/Δ(G) role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3eG/Δ(G) is torsion-free and divisible; Δ(G) role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3eΔ(G) is a functorial subgroup of G, it determines G up to topological isomorphism, and it leads to a “canonical” resolution theorem for G. The subgroup Δ(G) role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3eΔ(G) appeared before in the literature as td(G) role= presentation style= box-sizing: border-box; max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative; \u3etd(G) motivated by completely different considerations. We survey and extend earlier results. It is shown that td, as a functor, preserves proper exactness of short sequences of compact groups
Bad Ischl
No full textBAD ISCHL
Bad Ischl ( - )
Cover ( - )
Title page ([1])
Mitarbeiter[-Verzeichnis] ([3])
Inhalt ([4])
Vorwort ([5])
[Abb.: Im Bad] ([6])
Bad Ischl / Franz Nöbauer ([7])
Querschnitt durch Ischls und des inneren Salzkammergutes Geschichte / von Heinrich Prochaska (9)
Begriff Salzkammergut (9)
Die prähistorische und historische Besiedlung (11)
Ischls Salzsegen / von Friedrich Morton (37)
Bad Ischl und seine Landschaft / von Raimund Berndl (41)
Sitte und Brauch in der Bad Ischler Gegend / von Adalbert Depiny (47)
Ischl und seine Tracht / von Annemarie Commenda (53)
Bad Ischl in Sage und Legende / von Fr. Nöbauer (58)
Bad Ischl, das größte Solbad Österreichs / von Adolf Höchsmann (61)
Geschichtliches (61)
Lage und Klima (62)
Die Kurmittel (64)
Die Heilanzeigen der Solbäder (65)
Das Kurmittelhaus (66)
Bad Ischl als Weltkurort / von Martin Berkovits (68)
Berühmte Gäste Alt- und Neu-Ischls / von Heinrich Prochaska (74)
Der Salzkammergut-Golfplatz / von Graf Pachta-Rayhofen (87)
Strobl, das Strandbad Bad Ischls / von A. Binna (91)
Kreuz und quer durch Bad Ischl und Umgebung / von Albert Binna (93)
Rund ums Markterl (93)
Kurhaus (102)
Heimatmuseum Bad Ischl (Wirerstraße) / von A. Binna (107)
Die Kaiservilla / von Albert Binna (110)
Burgruine Wildenstein / von Albert Binna (115)
Urväter-Hausrat im Volkskundemuseum Engleithen bei Ischl / von Friedrich Morton (118)
Bad Ischls Ausflüge / von Albert Binna (122)
Zur Gstötten (122)
Auf die Sulzbachfelder (122)
Zum Rettenbachwaldweg (124)
Zum Kaiser-Jagdstandbild (124)
Nach Lauffen (126)
Zum Schennerbauer (127)
Von Ischl über Kreutern nach Pfandl und zurück (128)
Ueber das Steinfeldholz zur Rettenbachwildnis und über die Hubhanslau zurück (129)
Zur Rettenbachalm (129)
Ansteigende Wege (130)
Ueber Untereck und Obereck hinab zum Sulzbachstrub und zurück nach Ischl (131)
Zum Hütteneck (131)
Auf das Heischfeld und über den Lärchenwald zurück (132)
Auf den Kalvarienberg und über Ahorn zurück (132)
Ueber den Elisabethwaldweg nach Pfandl und über Ahorn zurück (133)
Zum Nussensee (134)
Ueber den Kalvarienberg zum Bauernfeldwaldpfad und über die Heischfelder zurück (135)
Durch das Jainzental auf den Sophiendoppelblick (135)
Bad Ischl im Winter (136)
Schrifttum (139)
Cover ( -
Palaeosyopinae
No full textSubfamily PALAEOSYOPINAE Steinmann and Döderlein 1890 Included genera: Palaeosyops (= Limnohyus, Limnohyops, Eometarhinus). Diagnosis: Same as for member genus, Palaeosyops (see below). Sister taxon to all brontothere subfamilies except for the Eotitanopinae (see cladogram in Mader 1998, Fig. 36.5) Discussion: Palaeosyops is the sole member of the Palaeosyopinae (Steinmann & D derlein 1890). Because the subfamily Palaeosyopinae consist of only a single genus, the diagnosis of the subfamily does not differ from that of its member genus. Although Palaeosyopinae is recognized here as the valid name for this subfamily, it should be noted that the invalid name Limnohyinae predates it by fifteen years. Marsh (1875) compared Diplacodon to the "Limnohyidae," a previously unpublished family-group name. Marsh did not specify which taxa were to be included under this name, although it is obvious that it must include Lymnohyus (a junior synonym of Palaeosyops). According to the Principle of Coordination (Article 36, International Code of Zoological Nomenclature, Ride et al. 1999) this simultaneously established the subfamily name Limnohyinae with Marsh (1875) as the author. If the names Limnohyidae and Limnohyinae were to be valid, therefore, the subfamily name Limnohyinae would be a senior synonym of Palaeosyopinae. Although Marsh did not explicitly specify a type genus for the Limnohyinae, the subfamily name cannot be invalidated on this basis since the type genus (Limnohyus) can be clearly inferred from the construction of the name (Article 11.7. 1.1 International Code of Zoological Nomenclature). Furthermore, even though the genus Limnohyus is now recognized as a junior synonym of Palaeosyops, the family-group name Limnohyinae cannot be invalidated on this ground (Article 40.1). However, according to Article 11.7. 1.2, in order for a family group name to be valid, it must be clearly used by the original author to "denote a suprageneric taxon and not merely as a plural noun or adjective referring to the members of a genus...". The name Limnohyinae is invalid, therefore, because it is not clear from the context of Marsh's paper whether the term Limnohyidae was intended to apply to Limnohyus and some of the other brontothere genera then recognized (such as Palaeosyops and Telmatherium), or merely to the three species of Limnohyus described by Marsh and Cope up to that time.Published as part of Mader, Bryn J., 2010, A species-level revision of the North American brontotheres Eotitanops and Palaeosyops (Mammalia, Perissodactyla), pp. 1-43 in Zootaxa 2339 on pages 15-16, DOI: 10.5281/zenodo.19327
How political are national identities? A comparison of the United States, the United Kingdom, and Germany in the 2010s
No full textThis is the final version of the article. Available from SAGE Publications via the DOI in this record.Original data supporting this research are available from the UK Data Archive (Study Number 851142): http://dx.doi.org/10.5255/UKDA-SN-851142/Research demonstrates the multi-dimensional nature of American identity arguing that the normative content of American identity relates to political ideologies in the United States, but the sense of belonging to the nation does not. This paper replicates that analysis and extends it to the German and British cases. Exploratory structural equation modeling attests to cross-cultural validity of measures of the sense of belonging and norms of uncritical loyalty and engagement for positive change. In the 2010s, we find partisanship and ideology in all three nations explains levels of belonging and the two content dimensions. Interestingly, those identifying with major parties of the left and right in all three countries have a higher sense of belonging and uncritical loyalty than their moderate counterparts. The relationship between partisanship, ideology, and national identity seems to wax and wane over time, presumably because elite political discourse linking party or ideology to identity varies from one political moment to the next.The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: Data collection was funded by a grant from the Economic and Social Research Council of the United Kingdom (RES-061-25-0405)
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