@article{CM_1987__63_2_159_0, author = {Van Mill, J.}, title = {Topological equivalence of certain function spaces}, journal = {Compositio Mathematica}, pages = {159--188}, publisher = {Martinus Nijhoff Publishers}, volume = {63}, number = {2}, year = {1987}, mrnumber = {906368}, zbl = {0634.54011}, language = {en}, url = {http://archive.numdam.org/item/CM_1987__63_2_159_0/} }
Van Mill, J. Topological equivalence of certain function spaces. Compositio Mathematica, Volume 63 (1987) no. 2, pp. 159-188. http://archive.numdam.org/item/CM_1987__63_2_159_0/
1 On topological infinite deficiency. Mich. Math. J. 14 (1967) 365-383. | MR | Zbl
:2 On sigma-compact subsets of infinite-dimensional spaces. Unpublished manuscript.
:3 The principle of τ-approximation and a test for equality of dimension of compact Hausdorff spaces. Soviet Math. Dokl. 21 (1980) 805-809. | Zbl
:4 On linear homeomorphisms of function spaces. Soviet Math. Dokl. 25 (1982) 852-855. | Zbl
:5 Spaces of continuous functions (IV) (On isomorphical classification of function spaces C(S)). Studia Math. 19 (1960) 53-62. | EuDML | MR | Zbl
and :6 Selected topics in infinite-dimensional topology. PWN, Warsaw (1975). | MR | Zbl
and :7 Theory of retracts. PWN, Warsaw (1967). | MR | Zbl
:8 Dense sigma-compact subsets of infinite-dimensional manifolds. Trans. Amer. Math. Soc. 154 (1971) 399-426. | MR | Zbl
:9 Lectures on Hilbert cube manifolds. CMBS Regional Conf. Series in Math. no. 28. Amer. Math. Soc., Providence, R.I. (1976). | MR | Zbl
:10 Fake topological Hilbert spaces and characterizations of dimension in terms of negligibility. CWI Tract 2. Amsterdam, (1984). | MR | Zbl
:11 Function spaces of low Borel complexity. Proc. Amer. Math. Soc. 94 (1985) 703-710. | MR | Zbl
, , and :12 Characterization of the countable infinite product of rationals and some related problems. To appear. | MR
:13 On closed images of the space of irrationals. Proc. Amer. Math. Soc. 21 (1969) 583-586. | MR | Zbl
:14 Descriptive complexity of function spaces. Trans. Amer. Math. Soc. 291 (1985) 121-128. | MR | Zbl
, and :15 Characterizing the topology of infinite-dimensional σ-compact manifolds. Proc. Amer. Math. Soc. 92 (1984) 111-118. | Zbl
:16 Banach spaces and topology, Handbook of Set theoretic Topology, (K. Kunen and J.E. Vaughan, eds.). North-Holland (1984) 1045-1142. | MR | Zbl
:17 On spaces of continuous functions. Soviet Math. Dokl. 22 (1980) 34-37. | MR | Zbl
:18 Banach spaces of continuous functions. PWN, Warsaw (1971). | Zbl
:19 Analytic sets and Borel isomorphisms. Fund. Math. 108 (1980) 83-88. | MR | Zbl
:20 On cartesian factors and the topological classification of linear metric spaces. Fund. Math. 88 (1975) 71-86. | MR | Zbl
21 On CE-images of the Hilbert cube and characterization of Q-manifolds. Fund. Math. 108 (1980) 31-40. | MR | Zbl
:22 Characterizing Hilbert space topology. Fund. Math. 111 (1981) 247-262. | MR | Zbl
:23 (G,K)-absorbing and skeletonized sets in metric spaces. Diss. Math. (to appear).
:24 The ambient homeomorphy of an incomplete subspace of infinite-dimensional Hilbert spaces. Pacific J. Math. 34 (1970) 257-267. | MR | Zbl
: