Local connectedness of frames

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dc.contributor.advisorSchauerte, Anneliese
dc.contributor.authorMushaandja, Zechariah
dc.date.accessioned2023-08-29T11:40:15Z
dc.date.available2023-08-29T11:40:15Z
dc.date.issued2004
dc.date.updated2023-08-29T11:39:57Z
dc.description.abstractIn this thesis, we undertake a systematic study of local connectedness of frames. Among other central ideas in this study is that of a connected congruence on a frame. We show that the two definitions of a connected congruence in literature (section 2.2) are not equivalent, and hence introduce a new term for one of them. We also prove that, using Baboolal's methods, if the Stone-Cech compactification βL is locally connected then L need not be locally connected for completely regular frame L. This happens in chapter 5.
dc.identifier.apacitationMushaandja, Z. (2004). <i>Local connectedness of frames</i>. (). ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/38321en_ZA
dc.identifier.chicagocitationMushaandja, Zechariah. <i>"Local connectedness of frames."</i> ., ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2004. http://hdl.handle.net/11427/38321en_ZA
dc.identifier.citationMushaandja, Z. 2004. Local connectedness of frames. . ,Faculty of Science ,Department of Mathematics and Applied Mathematics. http://hdl.handle.net/11427/38321en_ZA
dc.identifier.ris TY - Master Thesis AU - Mushaandja, Zechariah AB - In this thesis, we undertake a systematic study of local connectedness of frames. Among other central ideas in this study is that of a connected congruence on a frame. We show that the two definitions of a connected congruence in literature (section 2.2) are not equivalent, and hence introduce a new term for one of them. We also prove that, using Baboolal's methods, if the Stone-Cech compactification βL is locally connected then L need not be locally connected for completely regular frame L. This happens in chapter 5. DA - 2004 DB - OpenUCT DP - University of Cape Town KW - mathematics and applied mathematics LK - https://open.uct.ac.za PY - 2004 T1 - Local connectedness of frames TI - Local connectedness of frames UR - http://hdl.handle.net/11427/38321 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/38321
dc.identifier.vancouvercitationMushaandja Z. Local connectedness of frames. []. ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2004 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/38321en_ZA
dc.language.rfc3066eng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.subjectmathematics and applied mathematics
dc.titleLocal connectedness of frames
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationlevelMSc
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