Celebratio Mathematica

M. E. Estill: Concerning abstract spaces. Ph.D. thesis, University of Texas at Austin, 1949. Advised by R. L. Moore. A condensed version was published in Duke Math. J. 17:4 (1950). MR 2937954 phdthesis

M. E. Rudin: “Countable paracompactness and Souslin’s problem,” Can. J. Math. 7 (February 1955), pp. 543–547. MR 73155 Zbl 0065.38002 article

M. E. Rudin: “A normal space \( X \) for which \( X\times I \) is not normal,” Fund. Math. 73 : 2 (1971–1972), pp. 179–186. A brief initial version was published in Bull. Am. Math. Soc. 77:2 (1971). MR 293583 Zbl 0224.54019 article

M. E. Rudin: Lectures on set theoretic topology (Laramie, WY, 12–16 August 1974). CBMS Regional Conference Series in Mathematics 23. American Mathematical Society (Providence, RI), 1975. Reprinted in 1980. MR 367886 Zbl 0318.54001 book

M. E. Rudin and P. Zenor: “A perfectly normal nonmetrizable manifold,” Houston J. Math. 2 : 1 (1976), pp. 129–134. MR 394560 Zbl 0315.54028 article

Y. Benyamini, M. E. Rudin, and M. Wage: “Continuous images of weakly compact subsets of Banach spaces,” Pac. J. Math. 70 : 2 (1977), pp. 309–324. MR 625889 Zbl 0374.46011 article

Yoav Benyamini	Related
Michael Wage	Related

M. E. Rudin: “The undecidability of the existence of a perfectly normal nonmetrizable manifold,” Houston J. Math. 5 : 2 (1979), pp. 249–252. MR 546759 Zbl 0418.03036 article

A. Bešlagić and M. E. Rudin: “Set-theoretic constructions of nonshrinking open covers,” Topology Appl. 20 : 2 (August 1985), pp. 167–177. MR 800847 Zbl 0574.54020 article

A family \[ \{M_{\alpha}\mid \alpha\in A\} \] is a shrinking of a cover \[ \{O_{\alpha}\mid \alpha\in A\} \] of a topological space if \[ \{M_{\alpha}\mid \alpha\in A\} \] also covers and \( M_{\alpha}\subset O_{\alpha} \) for all \( \alpha\in A \).

\( \lozenge^{++} \) implies that there is a normal space such that every increasing open cover of it has a clopen shrinking but there is an open cover having no closed shrinking.

\( \lozenge \) implies that there is a \( P \)-space (i.e. a space having a normal product with every metric space), which has an increasing open cover having no closed shrinking. This space is used in [Chiba et al. 1986] to show that any space which has a normal product with every \( P \)-space is metrizable.

M. E. Rudin: “Nikiel’s conjecture,” Topology Appl. 116 : 3 (December 2001), pp. 305–331. MR 1857669 Zbl 0988.54022 article

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Mary Ellen Rudin

A Tribute to Mary Ellen Rudin

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