Journal of Formalized Mathematics
Volume 11, 1999
University of Bialystok
Copyright (c) 1999 Association of Mizar Users

The Sequential Closure Operator in Sequential and Frechet Spaces


Bartlomiej Skorulski
University of Bialystok

MML Identifier: FRECHET2

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

Contents (PDF format)

  1. The Properties of Sequences and Subsequences
  2. The Continuous Maps
  3. The Sequential Closure Operator
  4. The Limit
  5. The Cluster Points
  6. Auxiliary Theorems

Bibliography

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[18] Bartlomiej Skorulski. First-countable, sequential, and Frechet spaces. Journal of Formalized Mathematics, 10, 1998.
[19] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[20] Andrzej Trybulec. Baire spaces, Sober spaces. Journal of Formalized Mathematics, 9, 1997.
[21] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.
[22] Wojciech A. Trybulec. Binary operations on finite sequences. Journal of Formalized Mathematics, 2, 1990.
[23] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[24] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received February 13, 1999


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