Chapter: Sequences and Limits
This chapter deals with convergence of sets from a general, topological point of view. We will define limit points based solely on the basic concepts of topology, not relying on the concept of distance.
Table of Contents
Examples: 1
 Definition: Isolated, Adherent, Limit, $\omega$Accumulation and Condensation Points
 Definition: Sequence
 Definition: Carrier Set
 Definition: Subsequence
 Definition: Limits and Accumulation Points of Sequences
 Definition: Derived, Denseinitself, and Perfect Sets
 Proposition: Perfect Sets vs. Derived Sets
 Definition: Comparison of Filters, Finer and Coarser Filters
 Axiom: Filter
 Proposition: Filter Base
 Definition: Ultrafilter
Mentioned in:
Chapters: 1
Parts: 2
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References
Bibliography
 Steen, L.A.;Seebach J.A.Jr.: "Counterexamples in Topology", Dover Publications, Inc, 1970
 Jänich, Klaus: "Topologie", Springer, 2001, 7th Edition