On Turing machines, groupoids, and Atiyha problem

Grabowski, Łukasz

dc.contributor.advisor	Thom, Andreas Prof. Dr.	de
dc.contributor.author	Grabowski, Łukasz	de
dc.date.accessioned	2011-03-17T12:11:50Z	de
dc.date.accessioned	2013-01-18T13:20:45Z	de
dc.date.available	2013-01-30T23:50:54Z	de
dc.date.issued	2011-03-17	de
dc.identifier.uri	http://hdl.handle.net/11858/00-1735-0000-0006-B6AB-5	de
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-2479
dc.description.abstract	Turing-dynamische Systeme, abstrakte Version von Turingmaschinen, werden mittels Gruppoide definiert und untersucht. Die wichtigste vorgelegte Anwendung betrifft das Atiyah-Problem. Zum Beispiel, wird bewiesen, dass jede nicht-negative reelle Zahl auch eine l2-Bettizahl ist.	de
dc.format.mimetype	application/pdf	de
dc.language.iso	eng	de
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/	de
dc.title	On Turing machines, groupoids, and Atiyha problem	de
dc.type	doctoralThesis	de
dc.title.translated	Über Turingmaschinen, Gruppoide, und das Atiyah-problem	de
dc.contributor.referee	Thom, Andreas Prof. Dr.	de
dc.date.examination	2011-03-10	de
dc.description.abstracteng	Turing dynamical system, an abstract version of a Turing machine, is defined and investigated using groupoids. The main presented application is to the Atiyah problem in group theory. It is for example proven that every non-negative real number is an l2-Betti number arising from some group.	de
dc.contributor.coReferee	Schick, Thomas Prof. Dr.	de
dc.subject.ger	Atiyah-problem	de
dc.subject.ger	Atiayah-vermutung	de
dc.subject.ger	Turingmaschine	de
dc.subject.ger	dynamische Systeme	de
dc.subject.ger	Bettizahlen	de
dc.subject.eng	Atiyah problem	de
dc.subject.eng	Atiyah conjecture	de
dc.subject.eng	Turing machine	de
dc.subject.eng	dynamical system	de
dc.subject.eng	Betti numbers	de
dc.identifier.urn	urn:nbn:de:gbv:7-webdoc-2884-4	de
dc.identifier.purl	webdoc-2884	de
dc.affiliation.institute	Fakultät für Mathematik und Informatik	de
dc.identifier.ppn	664122469	de

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