Some problems related to universality of maps in infinite-dimensional topology |
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| Author | |
| Abstract |
Some problems concerning universality,
softness and invertibility of maps in infinite-dimensional
topology are formulated and discussed.
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| Keywords |
universality, softness, invertibility, maps, infinite-dimensional topology
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| DOI |
doi:10.30970/ms.4.1.111-114
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Reference |
1. Bestvina M., Mogilski J. Characterizing certain incomplete infinite-dimensional absolute retracts // Michigan Math. J. 33 (1986). P.291–313.
2. Cauty R. Ensembles absorbants pour les classes projectives // Fund. Math. 143 (1993). P.23–36. 3. Shchepin E.V. Functors and uncountable powers of compacta // Uspekhi Mat. Nauk. 36 (1981). P.3–62. (in Russian). 4. Dranishnikov A.N. Universal Menger compacta and universal maps // Matem. sbornik. 129 (1986). № 1. P.121–139. (in Russian). 5. Dobrowolski T., Mogilski J. Absorbing sets in the Hilbert cube related to transfinite dimension // Bull. Acad. Pol. Sci. Math. 38 (1990). No 1–12. P.185–188. 6. Rohm D.M. Products of infinite-dimensional spaces // Proc. Amer. Math. Soc. 108 (1990). No 4. P.1019–1023. 7. Zarichnyi M.M. Functors generated by universal maps of injective limits of sequences of Menger compacta // Matematika. 562 (1991). Riga. P.95–102. (in Russian). 8. Dydak J., Mogilski J. Universal cell-like maps // Amer. Math. Soc. 122 (1994). No 3. P.943–948. 9. Cauty R., Dobrowolski T., Applying coordinate products to the topological identification of normed spaces // Trans. Amer. Math. Soc. 337 (1993). P.625–649. 10. Bestvina M., Mogilski J. Linear maps do not preserve countable-dimensionality // Proc. Amer. Math. Soc. 93 (1985). P.661–666. |
| Pages |
111-114
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| Volume |
4
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| Issue |
1
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| Year |
1995
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |