On compact topological lattices of finite dimension
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- by Tae Ho Choe
- Trans. Amer. Math. Soc. 140 (1969), 223-237
- DOI: https://doi.org/10.1090/S0002-9947-1969-0240012-1
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References
- Lee W. Anderson, One dimensional topological lattices, Proc. Amer. Math. Soc. 10 (1959), 715–720. MR 107678, DOI 10.1090/S0002-9939-1959-0107678-7
- Lee W. Anderson, On the breadth and co-dimension of a topological lattice, Pacific J. Math. 9 (1959), 327–333. MR 105465, DOI 10.2140/pjm.1959.9.327
- Lee W. Anderson, Topological lattices and $n$-cells, Duke Math. J. 25 (1958), 205–208. MR 95904
- Lee W. Anderson, On the distributivity and simple connectivity of plane topological lattices, Trans. Amer. Math. Soc. 91 (1959), 102–112. MR 102575, DOI 10.1090/S0002-9947-1959-0102575-X —, Topological lattices, Tulane Dissertation, New Orleans, La., 1956.
- Garrett Birkhoff, Lattice theory, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. MR 0227053
- Haskell Cohen, A cohomological definition of dimension for locally compact Hausdorff spaces, Duke Math. J. 21 (1954), 209–224. MR 66637
- Eldon Dyer and Allen Shields, Connectivity of topological lattices, Pacific J. Math. 9 (1959), 443–448. MR 105464, DOI 10.2140/pjm.1959.9.443
- Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886, DOI 10.1515/9781400877492
- Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
- Irving Kaplansky, Topological rings, Amer. J. Math. 69 (1947), 153–183. MR 19596, DOI 10.2307/2371662 L. Nachbin, Topology and order, Univ. of Chicago, Chicago, Ill., 1950.
- Alexander Doniphan Wallace, Factoring a lattice, Proc. Amer. Math. Soc. 9 (1958), 250–252. MR 94306, DOI 10.1090/S0002-9939-1958-0094306-1
- A. D. Wallace, A note on mobs, An. Acad. Brasil. Ci. 24 (1952), 329–334. MR 53120 —, An outline for algebraic topology. I, Tulane Univ., New Orleans, La., 1949.
- L. E. Ward Jr., Binary relations in topological spaces, An. Acad. Brasil. Ci. 26 (1954), 357–373. MR 68820
- L. E. Ward Jr., Partially ordered topological spaces, Proc. Amer. Math. Soc. 5 (1954), 144–161. MR 63016, DOI 10.1090/S0002-9939-1954-0063016-5
- Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095, DOI 10.1090/coll/028
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 140 (1969), 223-237
- MSC: Primary 06.30
- DOI: https://doi.org/10.1090/S0002-9947-1969-0240012-1
- MathSciNet review: 0240012