×
Hoffmann, Rudolf-E.

Irreducible filters and sober spaces. (English) Zbl 0356.54008

Manuscr. Math. 22, 365-380 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0356.54008

Cited in 1 Review
Cited in 13 Documents

MSC:

54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
54D05 Connected and locally connected spaces (general aspects)
54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)
18B99 Special categories
Cite Review PDF
Full Text: DOI EuDML

References:

[1] ARHANGEL’SKII,A.V. and R.WIEGANDT: Connectednesses and disconnectednesses in topology. Gen.Topol.Appl.5, 9-33 (1975) · Zbl 0329.54008 · doi:10.1016/0016-660X(75)90009-4
[2] ARTIN,M., A.GROTHENDIECK, and J.VERDIER: Théorie des topos et cohomologie étale des schémas. Lect. Notes in Math.269, Berlin-Heidelberg-New York: Springer 1972
[3] AULL,C.E.: Separation of bicompact sets. Math. Ann.153, 197-202 (1965) · Zbl 0131.38001 · doi:10.1007/BF01360039
[4] ?? and W.J.Thron: Separation axioms between T0 and T1. Indag.Math.24, 26-37 (1963).
[5] BARON,S.: Reflectors as compositions of epi-reflectors. Trans.A.M.S.136, 499-508 (1969). · Zbl 0181.02403 · doi:10.1090/S0002-9947-1969-0236237-1
[6] BLANKSMA,T.: Lattice characterizations and compactifications. Doctoral dissertation: Rijksuniversiteit te Utrecht 1968; MR37, 5851. · Zbl 0157.53201
[7] BOURBAKI,N.: General Topology. Engl.Transl. Paris: Hermann 1966.
[8] BÜCHI,J.R.: Representation of complete lattices by sets. Portugaliae Math.11, 151-167 (1952); MR14,940.
[9] CULLEN,H.F.: Unique sequential limits. Boll.Un.Mat. Ital.20, 123-124 (1965). · Zbl 0136.19401
[10] DOWKER,C.H. and D.PAPERT: Quotient frames and subspaces. Proc. London Math.Soc. (3)16, 275-296 (1966) · Zbl 0136.43405 · doi:10.1112/plms/s3-16.1.275
[11] FUNAYAMA,N.: Notes on lattice theory and its application I. The lattice of all closed subsets of a T or T0 -space. Bulletin of Yamagata University1, 91-100 (1950); MR17, 286.
[12] HERRLICH,H.: Topologische Reflexionen und Coreflexionen. Lect.Notes in Math.78, Berlin-Heidelberg-New York: Springer 1968. · Zbl 0182.25302
[13] –: On the concept of reflections in general topology. In: Contributions to Extension Theory of Topological Structures. Proc. of the Symp.held in Berlin 1967 ed. Flachsmeyer, Poppe, Terpe, pp.105-114. VEB Deutscher Verl. d. Wissenschaften Berlin 1969.
[14] HOFFMANN,R.-E.: On weak Hausdorff spaces and quasicompactness (1975), unpublished.
[15] ??: Bemerkungen über TD-Räume. Manuscripta Math.12, 195-196 (1974). · Zbl 0277.54014 · doi:10.1007/BF01168650
[16] ??: Charakterisierung nüchterner Räume. Manuscripta math.15, 185-191 (1975). · Zbl 0306.54027 · doi:10.1007/BF01213787
[17] –: (E,M)-universally topological functors. Habilitationsschrift Düsseldorf 1974.
[18] ??: Topological functors admitting generalized Cauchy-completions. In: Categorical Topology. Proc. of the Conf. held at Mannheim 1975 ed.Binz and Herrlich, pp.286-344. Lect.Notes in Math.540, Berlin-Heidelberg-New York: Springer 1976.
[19] HOFFMANN,K.H. and K.Keimel: A general character theory for partially ordered sets and lattices. Mem.A.M.S.122 (1972). · Zbl 0243.18005
[20] HONG,S.S.: Extensive subcategories of the category of T0 -spaces. Canad.J.Math.27, 311-318 (1975). · doi:10.4153/CJM-1975-037-7
[21] ISBELL,J.R.: Atomless parts of spaces. Math.Scandinav.31, 5-32 (1972) · Zbl 0246.54028
[22] KENT,D.C.: On convergence groups and convergence uniformities. Fund.Math.60, 213-222 (1967) · Zbl 0155.50303
[23] KOWALSKY,H.J.: Verbandstheoretische Kennzeichnung topologischer Räume. Math.Nachr.21, 297-318 (1960) · Zbl 0093.36201 · doi:10.1002/mana.19600210311
[24] LAWSON,J. and B.MADISON: Quotients of k-semigroups. Semigroup Forum9, 1-8 (1974). · Zbl 0288.22006 · doi:10.1007/BF02194829
[25] –: Comparisons of notions of weak Hausdorffness. Preprint Louisiana State University, Baton Rouge U.S.A. · Zbl 0345.54025
[26] LEVINE,N.:When are compact and closed equivalent? Amer.Math.Monthly72, 41-44 (1965). · Zbl 0134.40903 · doi:10.2307/2312998
[27] McCORD,M.C.: Classifying spaces and infinite symmetric products. Trans.A.M.S.146, 273-298 (1969). · Zbl 0193.23604 · doi:10.1090/S0002-9947-1969-0251719-4
[28] MUKHERJI,T.K.: On weak Hausdorff spaces. Bull. Calcutta Math.Soc.58, 153-157 (1966). · Zbl 0212.27102
[29] MURDESHWAR,M.G. and S.A.NAIMPALLY: Semi-Hausdorff spaces. Canad.Math.Bull.9, 353-356 (1966). · Zbl 0147.22801 · doi:10.4153/CMB-1966-045-1
[30] NEL,L.D.: Latticesof lower semi-continuous functions and associated topological spaces. Pac.J.Math.40, 667-673 (1972) · Zbl 0231.46046
[31] ??and R.G.WILSON: Epireflections in the category of T0 -spaces. Fund.Math.75, 69-74 (1972). · Zbl 0232.54018
[32] NOIRI,T.: Remarks on weak Hausdorff spaces. Bull. Calcutta Math.Soc.66, 33-37 (1974). · Zbl 0316.54018
[33] PAPERT,S.: Which distributive lattices are lattices of closed sets? Proc.Cambridge Phil.Soc.55, 172-176 (1959). · Zbl 0178.33703 · doi:10.1017/S0305004100033855
[34] PREUSS, G.: Über denE-Zusammenhang und seine Lokalisation. Diss.FU Berlin 1967.
[35] ??:E-zusammenhängende Räume. Manuscripta Math.3, 331-342 (1970). · Zbl 0199.57501 · doi:10.1007/BF01168290
[36] ??: Trennung und Zusammenhang. Monatsh. Math.74, 70-87 (1970). · Zbl 0185.26003 · doi:10.1007/BF01298304
[37] ??: Eine Galois-Korrespondenz in der Topologie. ibid.75, 447-452 (1971) · Zbl 0231.54014 · doi:10.1007/BF01297014
[38] ROBINSON,S.M. and Y.C.WU: A note on separation axioms weaker than T1. J.Aust.Math.Soc.9, 233-236 (1969). · Zbl 0167.20703 · doi:10.1017/S1446788700005814
[39] SKULA,L.: On a reflective subcategory of the category of all topological spaces. Trans.A.M.S.142, 37-41 (1969). · Zbl 0185.50401
[40] THRON,W.J.: Lattice-equivalence of topological spaces. Duke Math.J.29, 671-679 (1962). · Zbl 0109.15203 · doi:10.1215/S0012-7094-62-02968-X
[41] WILANSKY,A.: Between T1 and T2. Amer.Math.Monthly74 261-266 (1967). · Zbl 0147.22704 · doi:10.2307/2316017
[42] WILANSKY, A.: Life without T2. Amer.Math.Monthly77, 157-161 (1970). Correction, ibid.77, 728 (1970). · Zbl 0189.23103 · doi:10.2307/2317328
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.