OPEN PROBLEMS IN TOPOLOGY

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References 11[1990] The space of minimal prime ideals of C(βÆ \ Æ) is problably notbasically disconnected. In General Topology and Applications,Proceedings of the 1988 Northeast Conference, R.M.Shortt,editor,pages 81–86. Marcel Dekker, Inc., New York.Dow, A. and O. Forster.[1982] Absolute C ∗ -embedding of F -spaces. Pac. J. Math., 98, 63–71.Dow, A., M. Henriksen, R. Kopperman, and J. Vermeer.[1988] The space of minimal prime ideals of C(X) need not be basicallydisconnected. Proc.Amer.Math.Soc., 104, 317–320.Dow, A. and J. van Mill.[1982] An extremally disconnected Dowker space. Proc. Amer. Math. Soc., 86,669–672.Dow, A. and T. J. Peters.[1987] Game strategies yield remote points. Top. Appl., 27, 245–256.[1988] Products and remote points: examples and counterexamples. Proc.Amer. Math. Soc., 104, 1296–1304.Kunen, K.[1978] Weak P -points in Æ ∗ .InTopology, Coll. Math. Soc. Bolyai János 23,pages 741–749. Budapest (Hungary).Merrill, J.[1986] Some results in Set Theory and related fields. PhD thesis, University ofWisconsin, Madison.van Mill, J.[1982] Weak P -points in Čech-Stone compactifications. Trans. Amer. Math.Soc., 273, 657–678.Todorcevic, S.[1989] Partition Problems in Topology. Contemporary Mathematics 94,American Mathematical Society, Providence.
Open Problems in TopologyJ. van Mill and G.M. Reed (Editors)c○ Elsevier Science Publishers B.V. (North-Holland), 1990Chapter 2Steprāns’ ProblemsJuris SteprānsDepartment of MathematicsYork University4700 Keele StreetNorth York, OntarioCanada M3J 1P3steprans@clid.yorku.caContents1. The Toronto Problem . . . . . . . . . . . . . . . . . . . . . . . 152. Continuous colourings of closed graphs . . . . . . . . . . . . . 163. Autohomeomorphisms of the Čech-Stone Compactification onthe Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Page 1: OPEN PROBLEMSIN TOPOLOGYEdited byJa
Page 4 and 5: viIntroductionThe editors would lik
Page 6 and 7: viiiContents10. Homeomorphisms . .
Page 8 and 9: xContentsSome Open Problems in Dens
Page 10 and 11: xiiContentsConclusion and Open Prob
Page 12 and 13: xivContents5. Borel Selectors and M
Page 14 and 15: Toronto ProblemsAlan Dow 1Juris Ste
Page 16 and 17: Question 1. Is there a ccc non-pseu
Page 18 and 19: ch. 1] Dow / Dow’s Questions 9Thi
Page 22 and 23: 1. The Toronto ProblemWhat has come
Page 24 and 25: §3] Autohomeomorphisms of the Čec
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Page 28 and 29: Open Problems in TopologyJ. van Mil
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66 Watson / Wishes [ch. 4In the not
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68 Watson / Wishes [ch. 413. Other
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70 Watson / Wishes [ch. 4Bales, J.
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72 Watson / Wishes [ch. 4[1978] Sep
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74 Watson / Wishes [ch. 4Reed, G. M
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76 Watson / Wishes [ch. 4[19∞b] A
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What constitutes a good mathematica
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§C] Problems about Partitions 81Ea
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References 83It is known that the a
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Open Problems in TopologyJ. van Mil
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88 Gruenhage / Perfectly normal com
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100 Hart and van Mill / βω [ch. 7
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166 Reed / Moore Spaces [ch. 9? 298
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168 Reed / Moore Spaces [ch. 9? 302
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170 Reed / Moore Spaces [ch. 9Reed
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172 Reed / Moore Spaces [ch. 9An ex
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174 Reed / Moore Spaces [ch. 96. Th
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176 Reed / Moore Spaces [ch. 98. Re
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178 Reed / Moore Spaces [ch. 9van D
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180 Reed / Moore Spaces [ch. 9[1975
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186 Rudin / Some Conjectures [ch. 1
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198 Vaughan / Small Cardinals [ch.
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224 Bennett and Chaber / The Class
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234 Bennett and Lutzer / Perfect Or
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236 Bennett and Lutzer / Perfect Or
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IntroductionIt is the purpose of th
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§1] Origins 241Then there is a met
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§2] The point-countable base probl
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§2] The point-countable base probl
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§3] Postscript: a general structur
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References 249However, we do not kn
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254 Fitzpatrick and Zhou / Densely
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264 Kunen / Large Homogeneous Compa
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0. IntroductionThis note collects s
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§3] Continuous selections 2752.3.
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References 277metric satisfying bot
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282 Pol / Dimension Theory [ch. 18T
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284 Pol / Dimension Theory [ch. 18W
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286 Pol / Dimension Theory [ch. 18I
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288 Pol / Dimension Theory [ch. 181
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290 Pol / Dimension Theory [ch. 18G
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Part IIIContinua TheoryContents:Ele
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Most of the topics related to conti
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ch. 19] Cook, Ingram and Lelek / Co
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References 301questions related to
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306 Rogers / Tree-like curves [ch.
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316 Comfort / Topological Groups [c
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352 Lawson and Mislove / Domain The
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378 Kong et al / Binary Digital Ima
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390 Meyer and de Vink / Semantics [
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412 Dobrowolski and Mogilski / Inco
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434 Daverman / Finite-dimensional m
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460 Dydak and Segal / Shape Theory
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472 Carlsson / Algebraic Topology [
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0. IntroductionThis paper is an int
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§1] Reidemeister Moves, Special Mo
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§2] Knotted Strings? 493embedding
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§3] Detecting Knottedness 495(Thus
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§4] Knots and Four Colors 4974. Kn
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§5] The Potts Model 499 GK(G)Figu
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§6] States, Crystals and the Funda
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§7] Vacuum-Vacuum Expectation and
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§8] Spin-Networks and Abstract Ten
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§9] Colors Again 5119.1. Theorem (
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§9] Colors Again 513At an edge in
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§10] Formations 515Ì ÍFigure 9:
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§11] Mirror-Mirror 517−−−→
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References 519Burgoyne, P. N.[1963]
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References 521Kirby, R.[1978] A cal
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526 West / Infinite Dimensional Top
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Part VIITopology Arising from Analy
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By a space we mean a Tikhonov topol
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ch. 31] Arkhangel ′ ski / C p -th
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References 613ReferencesArkhangel
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References 615Sokolov, G. A.[1986]
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1. Topologically Equivalent Measure
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§2] Two-Point Sets 621Brouwer’s
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§4] Finite Shift Maximal Sequences
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§6] Dynamical Systems on S 1 × R
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References 6277. Borel Cross-Sectio
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References 629Navarro-Bermudez, F.
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636 Barge and Kennedy / Continua an
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In this note I want to pose some qu
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§2] The boundary of ‘chaos’ 64
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§4] Homeomorphisms of the plane 65
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References 653Boyland, P.[1987] Bra
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Index of general termsThe index is
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Index of general terms 657bordism,
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Index of general terms 659continuou
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Index of general terms 661free surf
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Index of general terms 663linear sp
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Index of general terms 665Pacman, 1
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Index of general terms 667sequentia
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Index of general terms 669paracompa
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Index of general terms 671unconditi
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674 Index of problem termscharacter
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676 Index of problem termshereditar
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678 Index of problem termssimple, 4
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680 Index of problem termscontracti
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682 Index of problem termsLC 1 comp
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684 Index of problem termsproduct w
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686 Index of problem termsPL standa
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688 Index of problem termsstrongly
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690 Index of problem termsU α-univ
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692 Index of problem termson uncoun
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