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Scientific Article
unige:12215 
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The homotopy classes of continuous maps between some non-metrizable manifolds |
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| Author | ||
| Published in | Topology and Its Applications. 2005, vol. 148, no. 1/3, p. 39-53 | |
| Abstract | Let R be Alexandroff's long ray. We prove that the homotopy classes of continuous maps R^n o R are in bijection with the antichains of P({1,...,n}). The proof uses partition properties of continuous maps R^n o R. We also provide a description of $[X,R]$ for some other non-metrizable manifolds X. | |
| Keywords | Homotopy — Longline — Nonmetrizable manifolds | |
| Identifiers | arXiv: math/0403495v1 | |
| Full text | ||
| Structures | ||
| Citation (ISO format) | BAILLIF, Mathieu. The homotopy classes of continuous maps between some non-metrizable manifolds. In: Topology and Its Applications, 2005, vol. 148, n° 1/3, p. 39-53. doi: 10.1016/j.topol.2004.06.011 https://archive-ouverte.unige.ch/unige:12215 |
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