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On monotonic bijections on subgroups of R

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On monotonic bijections on subgroups of R

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Buzyakova, R. (2016). On monotonic bijections on subgroups of R. Applied General Topology. 17(2):83-91. https://doi.org/10.4995/agt.2016.4116

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/72405

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Title: On monotonic bijections on subgroups of R
Author: Buzyakova, Raushan
Issued date:
[EN] We show that for any continuous monotonic  bijection $f$ on a $\sigma$-compact subgroup  $G\subset \mathbb R$ there exists a binary operation $+_f$ such that $\langle G, +_f\rangle$  is a topological group topologically ...[+]
Subjects: Ordered group , Topological group , Homeomorphism , Shift , Monotonic function , Fixed point , Periodic point
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2016.4116
Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2016.4116
Type: Artículo


Alexandroff, P. (1928). �ber nulldimensionale Punktmengen. Mathematische Annalen, 98(1), 89-106. doi:10.1007/bf01451582

W. Sierpinski, Sur une propriete topologique des ensembles denombrablesdense en soi, Fund. Math. 1 (1920), 11-16.

J. van Mill, The Infinite-Dimensional Topology of Function Spaces, Elsevier, 2001



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