{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:20:16Z","timestamp":1759638016443,"version":"3.40.3"},"publisher-location":"Cham","reference-count":27,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030514655"},{"type":"electronic","value":"9783030514662"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-51466-2_19","type":"book-chapter","created":{"date-parts":[[2020,6,23]],"date-time":"2020-06-23T13:03:46Z","timestamp":1592917426000},"page":"215-227","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Functions of Baire Class One over a Bishop Topology"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4121-7455","authenticated-orcid":false,"given":"Iosif","family":"Petrakis","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,6,24]]},"reference":[{"key":"19_CR1","unstructured":"Aczel, P., Rathjen, M.: Constructive Set Theory, Book Draft (2010)"},{"key":"19_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF02419243","volume":"3","author":"R-L Baire","year":"1899","unstructured":"Baire, R.-L.: Sur les fonctions des variable r\u00e9elles. Annali. Mat. 3, 1\u2013123 (1899)","journal-title":"Annali. Mat."},{"key":"19_CR3","volume-title":"Foundations of Constructive Analysis","author":"E Bishop","year":"1967","unstructured":"Bishop, E.: Foundations of Constructive Analysis. McGraw-Hill, New York City (1967)"},{"key":"19_CR4","doi-asserted-by":"crossref","unstructured":"Bishop, E., Bridges, D.S.: Constructive Analysis, Grundlehren der math. Wissenschaften, vol. 279, Springer, Heidelberg (1985)","DOI":"10.1007\/978-3-642-61667-9"},{"key":"19_CR5","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/j.apal.2011.06.018","volume":"163","author":"DS Bridges","year":"2012","unstructured":"Bridges, D.S.: Reflections on function spaces. Ann. Pure Appl Log. 163, 101\u2013110 (2012)","journal-title":"Ann. Pure Appl Log."},{"key":"19_CR6","doi-asserted-by":"publisher","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":"19_CR7","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)"},{"issue":"1","key":"19_CR8","doi-asserted-by":"publisher","first-page":"237","DOI":"10.4995\/agt.2019.10776","volume":"20","author":"A Deb Ray","year":"2019","unstructured":"Deb Ray, A., Mondal, A.: On rings of Baire one functions. Appl. Gen. Topol. 20(1), 237\u2013249 (2019)","journal-title":"Appl. Gen. Topol."},{"key":"19_CR9","doi-asserted-by":"crossref","unstructured":"Haydon, R., Odell, E., Rosenthal, H.P.: Certain subsclasses of Baire-$$1$$ functions with Banach space applications. In: Longhorn Notes, University of Texas at Austin Functional Analysis Seminar (1987\u20131989)","DOI":"10.1007\/BFb0090209"},{"key":"19_CR10","unstructured":"Hu, J.: Baire one functions, preprint"},{"key":"19_CR11","doi-asserted-by":"publisher","first-page":"482","DOI":"10.1016\/j.apal.2012.10.009","volume":"164","author":"H Ishihara","year":"2013","unstructured":"Ishihara, H.: Relating Bishop\u2019s function spaces to neighborhood spaces. Ann. Pure Appl. Log. 164, 482\u2013490 (2013)","journal-title":"Ann. Pure Appl. Log."},{"key":"19_CR12","doi-asserted-by":"crossref","unstructured":"Jayne, J.E.: Space of Baire functions. I, Annales de l\u2019institut Fourier, pp. 47\u201376 (1974)","DOI":"10.5802\/aif.531"},{"issue":"1","key":"19_CR13","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1090\/S0002-9947-1990-0946424-3","volume":"318","author":"AS Kechris","year":"1990","unstructured":"Kechris, A.S., Louveau, A.: A classification of Baire class $$1$$ functions. Trans. Am. Math. Soc. 318(1), 209\u2013236 (1990)","journal-title":"Trans. Am. Math. Soc."},{"key":"19_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4190-4","volume-title":"Classical Descriptive Set Theory","author":"AS Kechris","year":"1995","unstructured":"Kechris, A.S.: Classical Descriptive Set Theory. Springer, Heidelberg (1995)"},{"key":"19_CR15","volume-title":"Topology","author":"K Kuratowski","year":"1966","unstructured":"Kuratowski, K.: Topology, vol. I. Academic Press, New York (1966)"},{"issue":"7","key":"19_CR16","doi-asserted-by":"publisher","first-page":"748","DOI":"10.1080\/00029890.1971.11992845","volume":"78","author":"ER Lorch","year":"1971","unstructured":"Lorch, E.R.: Continuity and Baire functions. Am. Math. Monthly 78(7), 748\u2013762 (1971)","journal-title":"Am. Math. Monthly"},{"key":"19_CR17","doi-asserted-by":"publisher","first-page":"347","DOI":"10.2307\/2272159","volume":"40","author":"J Myhill","year":"1975","unstructured":"Myhill, J.: Constructive set theory. J. Symb. Log. 40, 347\u2013382 (1975)","journal-title":"J. Symb. Log."},{"key":"19_CR18","unstructured":"Petrakis, I.: Constructive Topology of Bishop Spaces, Ph.D. Thesis, Ludwig-Maximilians-Universit\u00e4t, M\u00fcnchen (2015)"},{"key":"19_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1007\/978-3-319-20028-6_31","volume-title":"Evolving Computability","author":"I Petrakis","year":"2015","unstructured":"Petrakis, I.: Completely regular Bishop spaces. In: Beckmann, A., Mitrana, V., Soskova, M. (eds.) CiE 2015. LNCS, vol. 9136, pp. 302\u2013312. Springer, Cham (2015). https:\/\/doi.org\/10.1007\/978-3-319-20028-6_31"},{"key":"19_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1007\/978-3-319-27683-0_21","volume-title":"Logical Foundations of Computer Science","author":"I Petrakis","year":"2016","unstructured":"Petrakis, I.: The Urysohn extension theorem for Bishop spaces. In: Artemov, S., Nerode, A. (eds.) LFCS 2016. LNCS, vol. 9537, pp. 299\u2013316. Springer, Cham (2016). https:\/\/doi.org\/10.1007\/978-3-319-27683-0_21"},{"key":"19_CR21","doi-asserted-by":"crossref","unstructured":"Petrakis, I.: A constructive function-theoretic approach to topological compactness. In: LICS, pp. 605\u2013614 (2016)","DOI":"10.1145\/2933575.2933582"},{"key":"19_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"240","DOI":"10.1007\/978-3-030-22996-2_21","volume-title":"Computing with Foresight and Industry","author":"I Petrakis","year":"2019","unstructured":"Petrakis, I.: Borel and Baire sets in Bishop spaces. In: Manea, F., Martin, B., Paulusma, D., Primiero, G. (eds.) CiE 2019. LNCS, vol. 11558, pp. 240\u2013252. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-22996-2_21"},{"issue":"FT2","key":"19_CR23","first-page":"1","volume":"11","author":"I Petrakis","year":"2019","unstructured":"Petrakis, I.: Constructive uniformities of pseudometrics and Bishop topologies. J. Log. Anal. 11(FT2), 1\u201344 (2019)","journal-title":"J. Log. Anal."},{"key":"19_CR24","unstructured":"Petrakis, I.: Direct spectra of Bishop spaces and their limits. https:\/\/arxiv.org\/abs\/1907.03273 (2019)"},{"issue":"1","key":"19_CR25","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1093\/logcom\/exaa015","volume":"30","author":"I Petrakis","year":"2020","unstructured":"Petrakis, I.: Embeddings of Bishop spaces. J. Logi. Comput. 30(1), 349\u2013379 (2020). 10.1093\/logcom\/exaa015","journal-title":"J. Logi. Comput."},{"key":"19_CR26","unstructured":"Petrakis, I.: A constructive theory of $$C^*(X)$$, preprint (2020)"},{"key":"19_CR27","unstructured":"Petrakis, I.: Towards a constructive approach to the theory of distributions, preprint (2020)"}],"container-title":["Lecture Notes in Computer Science","Beyond the Horizon of Computability"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-51466-2_19","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,30]],"date-time":"2022-10-30T02:16:29Z","timestamp":1667096189000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-51466-2_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030514655","9783030514662"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-51466-2_19","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"24 June 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CiE","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Conference on Computability in Europe","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Fisciano","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Italy","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2020","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"29 June 2020","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"3 July 2020","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"cie2020","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/cie2020.wordpress.com\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"72","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"28","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"5","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"39% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"7","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"The conference was held virtually due to the coronavirus pandemic.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}