Topological Transcendental Fields†

Axioms

Volumn 11, Issue 3, 2022, Pages

  Chalebgwa, Taboka Prince ^a   Morris, Sidney A ^b,c  

^a FIELDS INSTITUTE   (Canada)

^b UNIVERSITY OF BALLARAT   (Australia)

^c LA TROBE UNIVERSITY   (Australia)

Author keywords

Algebraic; Countably infinite; Extension field; Homeomorphic; Subfield; Topological field; Transcendental number

Indexed keywords

EID: 85126696153     PISSN: None     EISSN: 20751680     Source Type: Journal    
DOI: 10.3390/axioms11030118     Document Type: Article

References (11)

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2. Baker, A. Transcendental Number Theory; Cambridge University Press: Cambridge, UK, 1975.
3. Angell, D. Irrationality and Transcendence in Number Theory; CRC Press: Boca Raton, FL, USA, 2022.
4. Weintraub, S.H. Galois Theory, 2nd ed.; Springer: Berlin/Heidelberg, Germany, 2009.
5. Warner, S. Topological Fields; North-Holland Publishing Company: Amsterdam, NY, USA, 1989.
6. Shell, N. Topological Fields and Near Valuations; Routledge: London, UK, 1990.
7. Pontryagin, L.S. Topological Groups; Gordon and Breach: New York, NY, USA, 1966.
8. Shakhmatov, D.B. Cardinal invariants of topological fields. Dokl. Akad. Nauk. SSSR 1983, 271, 1332–1336.
9. Morris, S.A. Transcendental Groups, to Appear. Available online: https://arxiv.org/abs/2112.12450 (accessed on 7 March 2022).
10. Erdős, P. Representations of real numbers as sums and products of Liouville numbers. Mich. Math. J. 1962, 9, 59–60. [CrossRef]
11. Morris, S.A. Pontryagin Duality and the Structure of Locally Compact Abelian Groups; Cambridge University Press: Cambridge, UK, 1977.