{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T15:05:12Z","timestamp":1742915112433,"version":"3.40.3"},"publisher-location":"Cham","reference-count":19,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319587400"},{"type":"electronic","value":"9783319587417"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-58741-7_33","type":"book-chapter","created":{"date-parts":[[2017,5,11]],"date-time":"2017-05-11T12:59:28Z","timestamp":1494507568000},"page":"351-363","source":"Crossref","is-referenced-by-count":1,"title":["McShane-Whitney Pairs"],"prefix":"10.1007","author":[{"given":"Iosif","family":"Petrakis","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,5,12]]},"reference":[{"key":"33_CR1","doi-asserted-by":"crossref","unstructured":"Benyamini, Y., Lindenstrauss, J.: Geometric nonlinear functional analysis, vol. 1, American Mathematical Society Colloquium Publications, 48. American Mathematical Society, Providence, RI (2000)","DOI":"10.1090\/coll\/048"},{"key":"33_CR2","volume-title":"Foundations of Constructive Analysis","author":"E Bishop","year":"1967","unstructured":"Bishop, E.: Foundations of Constructive Analysis. McGraw-Hill, New York (1967)"},{"key":"33_CR3","series-title":"279","volume-title":"Constructive Analysis, Grundlehren der mathematischen Wissenschaften","author":"E Bishop","year":"1985","unstructured":"Bishop, E., Bridges, D.: Constructive Analysis, Grundlehren der mathematischen Wissenschaften. 279. Springer, Heidelberg (1985)"},{"key":"33_CR4","series-title":"Monographs in Mathematics","volume-title":"Methods of geometric analysis in extension and trace problems, Volume 1","author":"A Brudnyi","year":"2012","unstructured":"Brudnyi, A., Brudnyi, Y.: Methods of geometric analysis in extension and trace problems, Volume 1. Monographs in Mathematics, vol. 102. Birkh\u00e4user\/Springer, Basel (2012)"},{"key":"33_CR5","series-title":"Universitext","doi-asserted-by":"crossref","DOI":"10.1002\/9781118033357","volume-title":"Techniques of Constructive Analysis","author":"DS Bridges","year":"2006","unstructured":"Bridges, D.S., V\u00ee\u0163\u0103, L.S.: Techniques of Constructive Analysis. Universitext. Springer, New York (2006)"},{"key":"33_CR6","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511565663","volume-title":"Varieties of Constructive Mathematics","author":"DS Bridges","year":"1987","unstructured":"Bridges, D.S., Richman, F.: Varieties of Constructive Mathematics. Cambridge University Press, Cambridge (1987)"},{"key":"33_CR7","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1112\/blms\/21.1.79","volume":"21","author":"H Ishihara","year":"1989","unstructured":"Ishihara, H.: On the constructive Hahn-Banach theorem. Bull. London. Math. Soc. 21, 79\u201381 (1989)","journal-title":"Bull. London. Math. Soc."},{"issue":"3","key":"33_CR8","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1112\/jlms\/s2-31.3.385","volume":"s2\u201331","author":"W Julian","year":"1985","unstructured":"Julian, W., Philips, K.: Constructive bounded sequences and lipschitz functions. J. London Math. Soc. s2\u201331(3), 385\u2013392 (1985)","journal-title":"J. London Math. Soc."},{"key":"33_CR9","doi-asserted-by":"crossref","first-page":"77","DOI":"10.4064\/fm-22-1-77-108","volume":"22","author":"MD Kirszbraun","year":"1934","unstructured":"Kirszbraun, M.D.: \u00dcber die zusammenziehende und Lipschitzsche Transformationen. Fundam. Math. 22, 77\u2013108 (1934)","journal-title":"Fundam. Math."},{"issue":"1","key":"33_CR10","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1093\/jigpal\/jzs020","volume":"21","author":"I Loeb","year":"2013","unstructured":"Loeb, I.: Lipschitz functions in constructive reverse mathematics. Logic J. IGPL 21(1), 28\u201343 (2013). (special issue on Non-Classical Mathematics)","journal-title":"Logic J. IGPL"},{"key":"33_CR11","doi-asserted-by":"crossref","unstructured":"Mandelkern, M.: Constructive continuity, Mem. Amer. Math. Soc. 277 (1983)","DOI":"10.1090\/memo\/0277"},{"issue":"12","key":"33_CR12","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1090\/S0002-9904-1934-05978-0","volume":"40","author":"EJ McShane","year":"1934","unstructured":"McShane, E.J.: Extension of range of functions. Bull. Amer. Math. Soc. 40(12), 837\u2013842 (1934)","journal-title":"Bull. Amer. Math. Soc."},{"key":"33_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"364","DOI":"10.1007\/978-3-319-40189-8_37","volume-title":"Pursuit of the Universal","author":"Iosif Petrakis","year":"2016","unstructured":"Petrakis, Iosif: A direct constructive proof of a stone-weierstrass theorem for metric spaces. In: Beckmann, Arnold, Bienvenu, Laurent, Jonoska, Nata\u0161a (eds.) CiE 2016. LNCS, vol. 9709, pp. 364\u2013374. Springer, Cham (2016). doi: 10.1007\/978-3-319-40189-8_37"},{"key":"33_CR14","unstructured":"Tuominen, H.: Analysis in Metric Spaces, Lecture notes (2014)"},{"issue":"2","key":"33_CR15","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1090\/S0002-9904-1943-07859-7","volume":"49","author":"FA Valentine","year":"1943","unstructured":"Valentine, F.A.: On the extension of a vector function so as to preserve a Lipschitz condition. Bull. Amer. Math. Soc. 49(2), 100\u2013108 (1943)","journal-title":"Bull. Amer. Math. Soc."},{"key":"33_CR16","doi-asserted-by":"crossref","first-page":"83","DOI":"10.2307\/2371917","volume":"67","author":"FA Valentine","year":"1945","unstructured":"Valentine, F.A.: A Lipschitz condition preserving extension for a vector function. Amer. J. Math. 67, 83\u201393 (1945)","journal-title":"Amer. J. Math."},{"key":"33_CR17","doi-asserted-by":"crossref","DOI":"10.1142\/4100","volume-title":"Lipschitz Algebras","author":"N Weaver","year":"1999","unstructured":"Weaver, N.: Lipschitz Algebras. World Scientific, Singapore (1999)"},{"key":"33_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-66037-5","volume-title":"Embeddings and Extensions in Analysis","author":"JH Wells","year":"1975","unstructured":"Wells, J.H., Williams, L.R.: Embeddings and Extensions in Analysis. Springer, Heidelberg (1975)"},{"issue":"1","key":"33_CR19","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1090\/S0002-9947-1934-1501735-3","volume":"36","author":"H Whitney","year":"1934","unstructured":"Whitney, H.: Analytic extensions of differentiable functions defined in closed sets. Trans. Amer. Math. Soc. 36(1), 63\u201389 (1934)","journal-title":"Trans. Amer. Math. Soc."}],"container-title":["Lecture Notes in Computer Science","Unveiling Dynamics and Complexity"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-58741-7_33","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,24]],"date-time":"2019-09-24T08:49:13Z","timestamp":1569314953000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-58741-7_33"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319587400","9783319587417"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-58741-7_33","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]}}}