Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998 Association of Mizar Users

Bases and Refinements of Topologies


Grzegorz Bancerek
University of Bialystok

This work has been supported by KBN Grant 8 T11C 018 12.

MML Identifier: YELLOW_9

The terminology and notation used in this paper have been introduced in the following articles [15] [7] [21] [11] [22] [5] [9] [16] [24] [23] [4] [6] [20] [1] [2] [3] [13] [8] [12] [18] [10] [19] [14] [17]

Contents (PDF format)

  1. Subsets as Nets
  2. Operations on Families of Open Sets
  3. Bases
  4. Product Topologies
  5. Topological Augmentations
  6. Refinements

Bibliography

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[2] Grzegorz Bancerek. Bounds in posets and relational substructures. Journal of Formalized Mathematics, 8, 1996.
[3] Grzegorz Bancerek. Directed sets, nets, ideals, filters, and maps. Journal of Formalized Mathematics, 8, 1996.
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[17] Andrzej Trybulec. A Borsuk theorem on homotopy types. Journal of Formalized Mathematics, 3, 1991.
[18] Andrzej Trybulec. Moore-Smith convergence. Journal of Formalized Mathematics, 8, 1996.
[19] Andrzej Trybulec. Scott topology. Journal of Formalized Mathematics, 9, 1997.
[20] Wojciech A. Trybulec. Partially ordered sets. Journal of Formalized Mathematics, 1, 1989.
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Received March 9, 1998

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