LEADER 03440nam 2200517 450 001 9910156516903321 005 20220923191555.0 010 $a2-8218-8398-6 035 $a(CKB)3710000000987272 035 $a(NjHacI)993710000000987272 035 $a(FrMaCLE)OB-obp-3522 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/55266 035 $a(PPN)203890213 035 $a(EXLCZ)993710000000987272 100 $a20220923d2016 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aOpen education $einternational perspectives in higher education /$fedited by Patrick Blessinger, T. J. Bliss 210 $cOpen Book Publishers 210 1$aCambridge :$cOpen Book Publishers,$d[2016] 210 4$d©2016 215 $a1 online resource (xxii, 354 pages) $cillustrations 300 $aIncludes index. 311 $a1-78374-278-X 330 $aOpen Education provides a great mix of research and authentic application of "open" in éducation which is global in perspective. The contributions provide insightful evidence that open education as an ecosystem is on the tipping point of crossing the chasm from sharing to learn to learning to share. This book is a must-read for those who care about more sustainable education futures showing that open is a viable pathway to realising education as a fundamental human right. ? Wayne Mackintosh, Founding Director of the OER Foundation and the OER Universitas In a time of openness vs closure, collaboration vs competition, elitism vs democratisation, this volume presents a range of perspectives that make a strong case for open education in both the developed and developing worlds. A recommended read for all those interested in transforming higher education. This book is a rich resource that illuminates the different dimensions of open education and its critical link to human rights. This delivers a very important message: that open education is a powerful tool to throw open the ivory towers and transform higher education in the 21st century. ? Asha Kanwar, President & CEO, Commonwealth of Learning Sustainable Development Goal 4 (United Nations) enjoins us to ensure inclusive and equitable quality education and promote lifelong learning opportunities for all. While we cannot rely on our current rigid and closed educational traditions to meet this goal, the concepts of the open education movement provide some promise. The importance of this book lies in its analysis of these concepts through the lens of the democratisation of education. Open is taken to enable far more than access - rather it focuses in on ideals of diversity, inclusion, agency, equity and social justice, towards the final goal of improving learning for all. ? Jenny Glennie, Head of Saide 517 $aOpen Education 606 $aEducation, Higher$xSocial aspects 610 $aopen technologies 610 $aopen access 610 $ainclusion 610 $aopen education 610 $ademocratisation 615 0$aEducation, Higher$xSocial aspects. 676 $a378 700 $aPatrick Blessinger$4auth$01355495 702 $aBlessinger$b Patrick 702 $aBliss$b T. J. 801 0$bNjHacI 801 1$bNjHacl 906 $aBOOK 912 $a9910156516903321 996 $aOpen education$93359620 997 $aUNINA LEADER 04423nam 22006375 450 001 9910300150203321 005 20220616194027.0 010 $a3-0348-0730-9 024 7 $a10.1007/978-3-0348-0730-2 035 $a(CKB)3710000000088291 035 $a(SSID)ssj0001175071 035 $a(PQKBManifestationID)11977513 035 $a(PQKBTitleCode)TC0001175071 035 $a(PQKBWorkID)11116252 035 $a(PQKB)10395590 035 $a(MiAaPQ)EBC1697865 035 $a(DE-He213)978-3-0348-0730-2 035 $a(PPN)176748733 035 $a(EXLCZ)993710000000088291 100 $a20140211d2014 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCardinal Invariants on Boolean Algebras $eSecond Revised Edition /$fby J. Donald Monk 205 $a2nd ed. 2014. 210 1$aBasel :$cSpringer Basel :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (569 pages) $cillustrations 225 1 $aProgress in Mathematics,$x0743-1643 ;$v142 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-0348-0729-5 320 $aIncludes bibliographical references and indexes. 327 $aIntroduction -- 1. Special Operations on Boolean Algebras -- 2. Special Classes of Boolean Algebras -- 3. Cellularity -- 4. Depth -- 5. Topological Density -- 6. Pi-Weight -- 7. Length -- 8. Irredundance -- 9. Cardinality -- 10. Independence -- 11. Pi-Character -- 12. Tightness -- 13. Spread -- 14. Character -- 15. Hereditary Lindelöf Degree -- 16. Hereditary Density -- 17. Incomparability -- 18. Hereditary Cofinality -- 19. Number of Ultrafilters -- 20. Number of Automorphisms -- 21. Number of Endomorphisms -- 22. Number of Ideals -- 23. Number of Subalgebras -- 24. Other Cardinal Functions -- 25. Diagrams -- 26. Examples -- 27. Problems -- References -- Symbol Index -- Subject Index -- Name Index. 330 $aThis book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of sets of pairwise disjoint elements. Twenty-one such functions are studied in detail, and many more in passing. The questions considered are the behaviour of these functions under algebraic operations such as products, free products, ultraproducts, and their relationships to one another. Assuming familiarity with only the basics of Boolean algebras and set theory, through simple infinite combinatorics and forcing, the book reviews current knowledge about these functions, giving complete proofs for most facts. A special feature of the book is the attention given to open problems, of which 185 are formulated. Based on Cardinal Functions on Boolean Algebras (1990) and Cardinal Invariants on Boolean Algebras (1996) by the same author, the present work is much larger than either of these. It contains solutions to many of the open problems of the earlier volumes. Among the new topics are continuum cardinals on Boolean algebras, with a lengthy treatment of the reaping number. Diagrams at the end of the book summarize the relationships between the functions for many important classes of Boolean algebras, including interval algebras, tree algebras and superatomic algebras. 410 0$aProgress in Mathematics,$x0743-1643 ;$v142 606 $aLogic, Symbolic and mathematical 606 $aAlgebra 606 $aOrdered algebraic structures 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 606 $aOrder, Lattices, Ordered Algebraic Structures$3https://scigraph.springernature.com/ontologies/product-market-codes/M11124 615 0$aLogic, Symbolic and mathematical. 615 0$aAlgebra. 615 0$aOrdered algebraic structures. 615 14$aMathematical Logic and Foundations. 615 24$aOrder, Lattices, Ordered Algebraic Structures. 676 $a511.3 676 $a511.324 700 $aMonk$b J. Donald$4aut$4http://id.loc.gov/vocabulary/relators/aut$035706 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300150203321 996 $aCardinal invariants on boolean algebras$9375229 997 $aUNINA