Research and Innovation Articles
An introduction to absolute retracts and absolute neighborhood retracts
Published 2013-12-17
Keywords
- Hilbert cube,
- contractile space,
- absolute extensor,
- extensor absolute neighborhood retract,
- borhood retracts
- absolute neighborhood retracts ...More
How to Cite
Macías, S. (2013). An introduction to absolute retracts and absolute neighborhood retracts. Revista Integración, Temas De matemáticas, 31(2), 153–164. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/3754
Abstract
The purpose of this paper is to present elementary properties of absolute retracts and absolute neighborhood retracts.
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References
[1] Borsuk K., “Sur les rétractes”, Fund. Math. 17 (1931), 152–170.
[2] Borsuk K., “Über eine Klasse von Lokal Zusammenhängenden Räume”, Fund. Math. 19 (1932), 220–242.
[3] Borsuk K., Theory of retracts, Monografie Matematyczne Tom 44, Warzaw, 1967.
[4] Chapman T.A., Lecture on Hilbert cube manifolds, Regional Conference Series in Mathematics, No. 28, American Mathematical Society, Providence, R.I., 1976.
[5] Ganea T., “Symmetrische potenzen topologischer Räume”, Math. Nachr. 11 (1954), 305– 316.
[6] Hu S.T., Theory of retracts, Wayne State University Press, Detroit, 1965.
[7] Macías S., Topics on continua, Pure and Applied Mathematics Series, Vol. 275, Chapman & Hall/CRC, Taylor & Francis Group, Boca Raton, London, New York, Singapore, 2005.
[8] Macías S., “Un breve panorama de los hiperespacios de continuos”, Rev. Integr. Temas Mat. 23 (2005), no. 2, 1–13.
[9] Van Mill J., Infinite-dimensional topology, North Holland Mathematical Library, Amsterdam, 1989.
[10] Van Mill J., The infinite-dimensional topology of function spaces, North Holland Mathematical Library, Amsterdam, 2001.
[11] Wojdisławski M., “Rétracts absolus et hyperspaces des continus”, Fund. Math. 32 (1939), 184–192.
[2] Borsuk K., “Über eine Klasse von Lokal Zusammenhängenden Räume”, Fund. Math. 19 (1932), 220–242.
[3] Borsuk K., Theory of retracts, Monografie Matematyczne Tom 44, Warzaw, 1967.
[4] Chapman T.A., Lecture on Hilbert cube manifolds, Regional Conference Series in Mathematics, No. 28, American Mathematical Society, Providence, R.I., 1976.
[5] Ganea T., “Symmetrische potenzen topologischer Räume”, Math. Nachr. 11 (1954), 305– 316.
[6] Hu S.T., Theory of retracts, Wayne State University Press, Detroit, 1965.
[7] Macías S., Topics on continua, Pure and Applied Mathematics Series, Vol. 275, Chapman & Hall/CRC, Taylor & Francis Group, Boca Raton, London, New York, Singapore, 2005.
[8] Macías S., “Un breve panorama de los hiperespacios de continuos”, Rev. Integr. Temas Mat. 23 (2005), no. 2, 1–13.
[9] Van Mill J., Infinite-dimensional topology, North Holland Mathematical Library, Amsterdam, 1989.
[10] Van Mill J., The infinite-dimensional topology of function spaces, North Holland Mathematical Library, Amsterdam, 2001.
[11] Wojdisławski M., “Rétracts absolus et hyperspaces des continus”, Fund. Math. 32 (1939), 184–192.