Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C.E. Aull, Some base axioms for topology involving enumerability, 54–61 in Gen. Top. and its relations to Modern Anal. and Alg. (Proc. Kanpur Top. Conf., 1968), Academia, Prague, 1971.
U. Abraham and S. Todorčević, Martin’s Axiom and first countable S-and L-spaces, 327–346 in Handbook of Set-theoretic Topology, ed. K. Kunen and J.E. Vaughan, North-Holland, Amsterdam, 1984.
J.E. Baumgartner, A new class of order types, Ann. Math. Logic 9(3) (1976) 187–222.
B. Balcar and R. Frankiewicz, To distinguish topologically the space m*, II, Bull. Acad. Polon. Sci. Sér. Mat. Astronom. Phys. 26 (1978) 521–523.
S. Broverman and W. Weiss, Spaces co-absolute with βN-N, Top. Appl. 12 (1981) 127–133.
M. Daniels, Normal locally compact boundedly metacompact spaces are paracompact-an application of Pixley-Roy spaces, Canad. J. Math. 35(1983) 827–833.
A. Dow, An introduction to applications of elementary submodels to topology, Top. Proc., to appear.
E.K. van Douwen, Covering and separation properties of box products, 55–130 in Surveys in General Topology, ed. G.M. Reed, Academic Press, New York, 1980.
E.K. van Douwen, F.D. Tall, W.A.R. Weiss, Nonmetrizable hereditarily Lindelöf spaces with point-countable bases from CH, Proc. Amer. Math. Soc. 64 (1977) 139–145.
A. Dow, F.D. Tall, W. Weiss, New proofs of the consistency of the normal Moore space conjecture, Top. Appl., to appear.
W.G. Fleissner, Separation properties in Moore spaces. Fund. Math. 98 (1978) 279–286.
W.G. Fleissner, The normal Moore space conjecture and large cardinals, 733–760 in Handbook of Set-theoretic Topology, ed. K. Kunen and J.E. Vaughan, North-Holland, Amsterdam, 1984.
W.G. Fleissner, Left-separated spaces with point-countable bases, Trans. Amer. Math. Soc. 294 (1986) 665–678.
G. Gruenhage and P.J. Nyikos, Normality in X2 for compact X, preprint.
R.W. Heath, Screenability, pointwise paracompactness and metrization of Moore spaces, Canad. J. Math. 16 (1964) 763–770.
A. Hajnal and I. Juhász, On spaces in which every small subspace is metrizable, Bull. Acad. Polon. Sci. Sér. Math. Astronom. Phys. 24 (1976) 727–731.
A. Hajnal and I. Juhász, Lindelöf spaces á la Shelah, Coll. Math. Soc. J. Bolyai 23 (1978) 555–567.
A. Hajnal, I. Juhász, W. Weiss, Ramsey type theorems for topological spaces, in preparation.
N.R. Howes, Ordered coverings and their relationship to some unsolved problems in topology, 60–68 in Proc. Washington State U. Conf. on Gen. Top., March 1970, Pullman, Washington, 1970.
I. Juhász, Cardinal Functions II, 63–110 in Handbook of Set-theoretic Topology, ed. K. Kunen and J.E. Vaughan, North-Holland, Amsterdam, 1984.
T. Jech and K. Prikry, Cofinality of the partial ordering of functions from ω1 into ω under eventual domination, Math. Proc. Camb. Phil. Soc. 95 (1984) 25–32.
I. Juhász and W. Weiss, A Lindelöf scattered space that omits c, Top. Appl. (to appear).
M. Katetov, Complete normality of Cartesian products, Fund. Math. 36 (1948) 271–274.
L.B. Lawrence, The box product of countably many copies of the rationals is consistently paracompact, preprint.
A. Miščenko, Finally compact spaces, Sov. Math. Dokl. 145 (1962) 1199–1202.
P.J. Nyikos, Some surprising base properties in topology, 427–450 in Studies in Topology, ed. N. Stavrakis, Academic Press (New York), 1975.
P. J. Nyikos, Order-theoretic basis axioms, 367–397 in Surveys in General Topology, ed. G.M. Reed, Academic Press, New York, 1980.
P. Nyikos, Progress on countably compact spaces, 379–410 in General Topology and its Relations to Modern Analysis and Algebra VI, Proc. 6th Prague Top. Symp. 1986, Heldermann Verlag, Berlin, 1988.
J. Roitman, Basic S and L, 295–326 in Handbook of Set-theoretic Topology, ed. K. Kunen and J.E. Vaughan, North-Holland, Amsterdam, 1984.
M.E. Rudin, Dowker Spaces, 761–780 in Handbook of Set-theoretic Topology, ed. K. Kunen and J.E. Vaughan, North-Holland, Amsterdam, 1984.
S. Shelah, Remarks on λ-collectionwise Hausdorff spaces, Top. Proc. 2 (1977) 583–592.
J. Steprāns, Some results in set theory, Thesis, University of Toronto, 1982.
F.D. Tall, Normality versus collectionwise normality, 685–732 in Handbook of Set-theoretic Topology, ed. K. Kunen and J.E. Vaughan, North-Holland, Amsterdam, 1984.
F.D. Tall, Topological Applications of Supercompact and Huge Cardinals, 545–558 in General Topology and its Relations to Modern Analysis and Algebra VI, Proc. 6th Prague Top. Symp. 1986, Heldermann Verlag, Berlin, 1988.
F.D. Tall, Topological applications of generic huge embeddings, Trans. Amer. Math. Soc., to appear
S. Todorčević, Some consequences of MA + ∼wKH, Top. Appl. 12 (1981) 187–282.
S. Todorčević, Partition problems in general topology, American Mathematical Society, Providence, 1988.
J.E. Vaughan, Countably compact and sequentially compact spaces, 569–602 in Handbook of Set-theoretic Topology, ed. K. Kunen and J.E. Vaughan, North-Holland Amsterdam, 1984.
S. Watson, Locally compact normal spaces in the constructible universe, Canad. J. Math. 34 (1982) 1091–1096.
S. Watson, Separation in countably paracompact spaces, Trans. Amer. Math. Soc. 290 (1985) 831–842.
W. Weiss, Partitioning topological spaces, in Mathematics of Ramsey Theory, ed. J. Nesetril and V. Rödl, to appear.
S.W. Williams, Box products, 169–200 in Handbook of Set-theoretic Topology, ed. K. Kunen and J.E. Vaughan, North-Holland, Amsterdam, 1984.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Tall, F.D. (1989). Topological problems for set-theorists. In: Steprāns, J., Watson, S. (eds) Set Theory and its Applications. Lecture Notes in Mathematics, vol 1401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097340
Download citation
DOI: https://doi.org/10.1007/BFb0097340
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51730-6
Online ISBN: 978-3-540-46795-3
eBook Packages: Springer Book Archive