Pub Date : 2020-07-02DOI: 10.1017/9781108867351.016
{"title":"Categories of Topological Spaces and Homology Theories","authors":"","doi":"10.1017/9781108867351.016","DOIUrl":"https://doi.org/10.1017/9781108867351.016","url":null,"abstract":"","PeriodicalId":422492,"journal":{"name":"Higher Index Theory","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131418902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-02DOI: 10.1017/9781108867351.015
{"title":"Topological Spaces, Group Actions and Coarse Geometry","authors":"","doi":"10.1017/9781108867351.015","DOIUrl":"https://doi.org/10.1017/9781108867351.015","url":null,"abstract":"","PeriodicalId":422492,"journal":{"name":"Higher Index Theory","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116401280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-02DOI: 10.1017/9781108867351.008
{"title":"Assembly Maps and the Baum–Connes Conjecture","authors":"","doi":"10.1017/9781108867351.008","DOIUrl":"https://doi.org/10.1017/9781108867351.008","url":null,"abstract":"","PeriodicalId":422492,"journal":{"name":"Higher Index Theory","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115521986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-02DOI: 10.1017/9781108867351.011
{"title":"Applications to Algebra, Geometry and Topology","authors":"","doi":"10.1017/9781108867351.011","DOIUrl":"https://doi.org/10.1017/9781108867351.011","url":null,"abstract":"","PeriodicalId":422492,"journal":{"name":"Higher Index Theory","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132552258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The threat of devastating forest (cid:28)res has increased signi(cid:28)cantly in recent years. Even in Central Europe, the use of air vehicles for (cid:28)re(cid:28)ghting is necessary. In this paper, a helicopter/support helicopter con(cid:28)guration was developed that is designed for this type of operation. In the following, the power requirements as well as the water absorption and release are discussed. In addition, this paper highlights points related to (cid:29)ight stability, such as the design of the tailplane, as well as the shift of the centre of gravity during (cid:29)ight. Furthermore, a (cid:29)eet concept and its e(cid:30)ciency is presented, as well as various deployment scenarios. In various calculations, attention is paid to either the helicopter or the gyroplane con(cid:28)guration.
{"title":"Index of Symbols","authors":"P. Hájek, P. Pudlák","doi":"10.2307/j.ctvc77jrc.19","DOIUrl":"https://doi.org/10.2307/j.ctvc77jrc.19","url":null,"abstract":"The threat of devastating forest (cid:28)res has increased signi(cid:28)cantly in recent years. Even in Central Europe, the use of air vehicles for (cid:28)re(cid:28)ghting is necessary. In this paper, a helicopter/support helicopter con(cid:28)guration was developed that is designed for this type of operation. In the following, the power requirements as well as the water absorption and release are discussed. In addition, this paper highlights points related to (cid:29)ight stability, such as the design of the tailplane, as well as the shift of the centre of gravity during (cid:29)ight. Furthermore, a (cid:29)eet concept and its e(cid:30)ciency is presented, as well as various deployment scenarios. In various calculations, attention is paid to either the helicopter or the gyroplane con(cid:28)guration.","PeriodicalId":422492,"journal":{"name":"Higher Index Theory","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134376317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
If a differential operator $D$ on a smooth Hermitian vector bundle $S$ over a compact manifold $M$ is symmetric, it is essentially self-adjoint and so admits the use of functional calculus. If $D$ is also elliptic, then the Hilbert space of square integrable sections of $S$ with the canonical left $C(M)$-action and the operator $chi(D)$ for $chi$ a normalizing function is a Fredholm module, and its $K$-homology class is independent of $chi$. In this expository article, we provide a detailed proof of this fact following the outline in the book "Analytic K-homology" by Higson and Roe.
{"title":"Elliptic Operators and K-homology","authors":"Anna Duwenig","doi":"10.1216/rmj.2020.50.91","DOIUrl":"https://doi.org/10.1216/rmj.2020.50.91","url":null,"abstract":"If a differential operator $D$ on a smooth Hermitian vector bundle $S$ over a compact manifold $M$ is symmetric, it is essentially self-adjoint and so admits the use of functional calculus. If $D$ is also elliptic, then the Hilbert space of square integrable sections of $S$ with the canonical left $C(M)$-action and the operator $chi(D)$ for $chi$ a normalizing function is a Fredholm module, and its $K$-homology class is independent of $chi$. In this expository article, we provide a detailed proof of this fact following the outline in the book \"Analytic K-homology\" by Higson and Roe.","PeriodicalId":422492,"journal":{"name":"Higher Index Theory","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130587608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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