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Volumn 54, Issue 1, 2008, Pages 98-108

Real numbers and other completions

Author keywords

Completions; Countable choice; Real numbers

Indexed keywords


EID: 55549136406     PISSN: 09425616     EISSN: 15213870     Source Type: Journal    
DOI: 10.1002/malq.200710024     Document Type: Article
Times cited : (21)

References (13)
  • 1
    • 0032394083 scopus 로고    scopus 로고
    • On proving the existence of complete ordered fields
    • B. Banaschewski, On proving the existence of complete ordered fields. Amer. Math. Monthly 105, 548 - 551 (1998).
    • (1998) Amer. Math. Monthly , vol.105 , pp. 548-551
    • Banaschewski, B.1
  • 3
    • 0002007061 scopus 로고    scopus 로고
    • Constructive mathematics: A foundation for computable analysis
    • D. S. Bridges, Constructive mathematics: a foundation for computable analysis. Theoret. Comput. Sci. 219, 95 - 109 (1999).
    • (1999) Theoret. Comput. Sci , vol.219 , pp. 95-109
    • Bridges, D.S.1
  • 6
    • 0041392693 scopus 로고
    • Concepts of general topology in constructive mathematics and in sheaves II
    • R. J. Grayson, Concepts of general topology in constructive mathematics and in sheaves II. Annals Math. Logic 23, 55 - 98 (1982).
    • (1982) Annals Math. Logic , vol.23 , pp. 55-98
    • Grayson, R.J.1
  • 8
    • 34548583765 scopus 로고    scopus 로고
    • On the Cauchy completeness of the constructive Cauchy reals
    • R. S. Lubarsky, On the Cauchy completeness of the constructive Cauchy reals. Math. Logic Quart. 53, 396 - 414 (2007).
    • (2007) Math. Logic Quart , vol.53 , pp. 396-414
    • Lubarsky, R.S.1
  • 9
    • 0032342699 scopus 로고    scopus 로고
    • Generalized real numbers in constructive mathematics
    • F. Richman, Generalized real numbers in constructive mathematics. Indagationes Mathematicae 9, 595 - 606 (1998).
    • (1998) Indagationes Mathematicae , vol.9 , pp. 595-606
    • Richman, F.1
  • 10
    • 0013136756 scopus 로고    scopus 로고
    • The fundamental theorem of algebra: A constructive development without choice
    • F. Richman, The fundamental theorem of algebra: a constructive development without choice. Pacific J. Mathematics 196, 213 - 230 (2000).
    • (2000) Pacific J. Mathematics , vol.196 , pp. 213-230
    • Richman, F.1
  • 12
    • 0040067113 scopus 로고
    • Sets as limits
    • Preprint
    • G. Stolzenberg, Sets as limits. Preprint (1988).
    • (1988)
    • Stolzenberg, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.