[{"publication_identifier":{"issn":["0166-8641"]},"quality_controlled":"1","citation":{"chicago":"Glöckner, Helge. “Completeness of Locally K_ω-Groups and Related Infinite-Dimensional Lie Groups.” <i>Topology and Its Applications</i> 228 (2017): 277–284. <a href=\"https://doi.org/10.1016/j.topol.2017.05.007\">https://doi.org/10.1016/j.topol.2017.05.007</a>.","ieee":"H. Glöckner, “Completeness of locally k_ω-groups and related infinite-dimensional Lie groups,” <i>Topology and its Applications</i>, vol. 228, pp. 277–284, 2017, doi: <a href=\"https://doi.org/10.1016/j.topol.2017.05.007\">10.1016/j.topol.2017.05.007</a>.","ama":"Glöckner H. Completeness of locally k_ω-groups and related infinite-dimensional Lie groups. <i>Topology and its Applications</i>. 2017;228:277–284. doi:<a href=\"https://doi.org/10.1016/j.topol.2017.05.007\">10.1016/j.topol.2017.05.007</a>","apa":"Glöckner, H. (2017). Completeness of locally k_ω-groups and related infinite-dimensional Lie groups. <i>Topology and Its Applications</i>, <i>228</i>, 277–284. <a href=\"https://doi.org/10.1016/j.topol.2017.05.007\">https://doi.org/10.1016/j.topol.2017.05.007</a>","mla":"Glöckner, Helge. “Completeness of Locally K_ω-Groups and Related Infinite-Dimensional Lie Groups.” <i>Topology and Its Applications</i>, vol. 228, 2017, pp. 277–284, doi:<a href=\"https://doi.org/10.1016/j.topol.2017.05.007\">10.1016/j.topol.2017.05.007</a>.","short":"H. Glöckner, Topology and Its Applications 228 (2017) 277–284.","bibtex":"@article{Glöckner_2017, title={Completeness of locally k_ω-groups and related infinite-dimensional Lie groups}, volume={228}, DOI={<a href=\"https://doi.org/10.1016/j.topol.2017.05.007\">10.1016/j.topol.2017.05.007</a>}, journal={Topology and its Applications}, author={Glöckner, Helge}, year={2017}, pages={277–284} }"},"page":"277–284","intvolume":"       228","year":"2017","date_created":"2026-02-26T07:21:22Z","author":[{"full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner","first_name":"Helge"}],"volume":228,"date_updated":"2026-02-27T08:33:12Z","doi":"10.1016/j.topol.2017.05.007","title":"Completeness of locally k_ω-groups and related infinite-dimensional Lie groups","type":"journal_article","publication":"Topology and its Applications","status":"public","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"64634","language":[{"iso":"eng"}],"keyword":["22E65","22A05","46A13","46M40","58D05"]},{"status":"public","publication":"Topology and its Applications","type":"journal_article","language":[{"iso":"eng"}],"keyword":["46A03","46F05","22D15","42A85","46A11","46A32"],"article_type":"original","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"64672","intvolume":"       159","page":"2990–3001","citation":{"apa":"Glöckner, H. (2012). Upper bounds for continuous seminorms and special properties of bilinear maps. <i>Topology and Its Applications</i>, <i>159</i>(13), 2990–3001. <a href=\"https://doi.org/10.1016/j.topol.2012.05.010\">https://doi.org/10.1016/j.topol.2012.05.010</a>","ama":"Glöckner H. Upper bounds for continuous seminorms and special properties of bilinear maps. <i>Topology and its Applications</i>. 2012;159(13):2990–3001. doi:<a href=\"https://doi.org/10.1016/j.topol.2012.05.010\">10.1016/j.topol.2012.05.010</a>","bibtex":"@article{Glöckner_2012, title={Upper bounds for continuous seminorms and special properties of bilinear maps}, volume={159}, DOI={<a href=\"https://doi.org/10.1016/j.topol.2012.05.010\">10.1016/j.topol.2012.05.010</a>}, number={13}, journal={Topology and its Applications}, author={Glöckner, Helge}, year={2012}, pages={2990–3001} }","short":"H. Glöckner, Topology and Its Applications 159 (2012) 2990–3001.","mla":"Glöckner, Helge. “Upper Bounds for Continuous Seminorms and Special Properties of Bilinear Maps.” <i>Topology and Its Applications</i>, vol. 159, no. 13, 2012, pp. 2990–3001, doi:<a href=\"https://doi.org/10.1016/j.topol.2012.05.010\">10.1016/j.topol.2012.05.010</a>.","chicago":"Glöckner, Helge. “Upper Bounds for Continuous Seminorms and Special Properties of Bilinear Maps.” <i>Topology and Its Applications</i> 159, no. 13 (2012): 2990–3001. <a href=\"https://doi.org/10.1016/j.topol.2012.05.010\">https://doi.org/10.1016/j.topol.2012.05.010</a>.","ieee":"H. Glöckner, “Upper bounds for continuous seminorms and special properties of bilinear maps,” <i>Topology and its Applications</i>, vol. 159, no. 13, pp. 2990–3001, 2012, doi: <a href=\"https://doi.org/10.1016/j.topol.2012.05.010\">10.1016/j.topol.2012.05.010</a>."},"year":"2012","issue":"13","quality_controlled":"1","publication_identifier":{"issn":["0166-8641"]},"doi":"10.1016/j.topol.2012.05.010","title":"Upper bounds for continuous seminorms and special properties of bilinear maps","volume":159,"author":[{"first_name":"Helge","full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner"}],"date_created":"2026-02-26T11:04:46Z","date_updated":"2026-02-27T08:25:06Z"},{"year":"2012","quality_controlled":"1","issue":"9","title":"Topological algebras of rapidly decreasing matrices and generalizations","date_created":"2026-02-26T11:06:13Z","publication":"Topology and its Applications","keyword":["46H20","46A45","22E65"],"language":[{"iso":"eng"}],"intvolume":"       159","page":"2420–2422","citation":{"ieee":"H. Glöckner and B. Langkamp, “Topological algebras of rapidly decreasing matrices and generalizations,” <i>Topology and its Applications</i>, vol. 159, no. 9, pp. 2420–2422, 2012, doi: <a href=\"https://doi.org/10.1016/j.topol.2011.09.048\">10.1016/j.topol.2011.09.048</a>.","chicago":"Glöckner, Helge, and Bastian Langkamp. “Topological Algebras of Rapidly Decreasing Matrices and Generalizations.” <i>Topology and Its Applications</i> 159, no. 9 (2012): 2420–2422. <a href=\"https://doi.org/10.1016/j.topol.2011.09.048\">https://doi.org/10.1016/j.topol.2011.09.048</a>.","ama":"Glöckner H, Langkamp B. Topological algebras of rapidly decreasing matrices and generalizations. <i>Topology and its Applications</i>. 2012;159(9):2420–2422. doi:<a href=\"https://doi.org/10.1016/j.topol.2011.09.048\">10.1016/j.topol.2011.09.048</a>","apa":"Glöckner, H., &#38; Langkamp, B. (2012). Topological algebras of rapidly decreasing matrices and generalizations. <i>Topology and Its Applications</i>, <i>159</i>(9), 2420–2422. <a href=\"https://doi.org/10.1016/j.topol.2011.09.048\">https://doi.org/10.1016/j.topol.2011.09.048</a>","mla":"Glöckner, Helge, and Bastian Langkamp. “Topological Algebras of Rapidly Decreasing Matrices and Generalizations.” <i>Topology and Its Applications</i>, vol. 159, no. 9, 2012, pp. 2420–2422, doi:<a href=\"https://doi.org/10.1016/j.topol.2011.09.048\">10.1016/j.topol.2011.09.048</a>.","bibtex":"@article{Glöckner_Langkamp_2012, title={Topological algebras of rapidly decreasing matrices and generalizations}, volume={159}, DOI={<a href=\"https://doi.org/10.1016/j.topol.2011.09.048\">10.1016/j.topol.2011.09.048</a>}, number={9}, journal={Topology and its Applications}, author={Glöckner, Helge and Langkamp, Bastian}, year={2012}, pages={2420–2422} }","short":"H. Glöckner, B. Langkamp, Topology and Its Applications 159 (2012) 2420–2422."},"publication_identifier":{"issn":["0166-8641"]},"doi":"10.1016/j.topol.2011.09.048","date_updated":"2026-02-27T08:24:38Z","volume":159,"author":[{"full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner","first_name":"Helge"},{"full_name":"Langkamp, Bastian","last_name":"Langkamp","first_name":"Bastian"}],"status":"public","type":"journal_article","article_type":"original","_id":"64673","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178"},{"type":"journal_article","publication":"Topology and its Applications","abstract":[{"text":"We show that countable direct limits of finite-dimensional Lie groups do not have small subgroups. The same conclusion is obtained for suitable direct limits of infinite-dimensional Lie groups.","lang":"eng"}],"status":"public","_id":"64691","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"article_type":"original","keyword":["Infinite-dimensional Lie group","Direct limit group","Direct limit","Inductive limit","Small subgroup","Torsion subgroup"],"language":[{"iso":"eng"}],"extern":"1","publication_identifier":{"issn":["0166-8641"]},"quality_controlled":"1","issue":"6","year":"2007","citation":{"short":"H. Glöckner, Topology and Its Applications 154 (2007) 1126–1133.","bibtex":"@article{Glöckner_2007, title={Direct limit groups do not have small subgroups}, volume={154}, DOI={<a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>}, number={6}, journal={Topology and its Applications}, author={Glöckner, Helge}, year={2007}, pages={1126–1133} }","mla":"Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” <i>Topology and Its Applications</i>, vol. 154, no. 6, 2007, pp. 1126–33, doi:<a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>.","apa":"Glöckner, H. (2007). Direct limit groups do not have small subgroups. <i>Topology and Its Applications</i>, <i>154</i>(6), 1126–1133. <a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>","ama":"Glöckner H. Direct limit groups do not have small subgroups. <i>Topology and its Applications</i>. 2007;154(6):1126-1133. doi:<a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>","chicago":"Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” <i>Topology and Its Applications</i> 154, no. 6 (2007): 1126–33. <a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>.","ieee":"H. Glöckner, “Direct limit groups do not have small subgroups,” <i>Topology and its Applications</i>, vol. 154, no. 6, pp. 1126–1133, 2007, doi: <a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>."},"page":"1126-1133","intvolume":"       154","date_updated":"2026-02-26T11:44:04Z","author":[{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"}],"date_created":"2026-02-26T11:43:06Z","volume":154,"title":"Direct limit groups do not have small subgroups","doi":"https://doi.org/10.1016/j.topol.2006.11.003"}]