THE MAIN ASPECTS IN THE DEVELOPMENT OF SET-THEORETICAL TOPOLOGY

P S Aleksandrov, Vitalii V Fedorchuk

Russian Mathematical Surveys · 1978 · 13 citations · 82 references

Concepts

Abstract

Contents § 1. The first steps in the development of the abstract and the geometrical approach to general topology § 2. The Tikhonov product; compactifications; dyadic spaces § 3. Projective spectra; absolutes; new separability axioms § 4. Homological methods in general topology: some topological results of the 30's § 5. Uniform topology § 6. Some aspects in the development of general topology in recent years: paracompactness and metrization; mappings and new classes of spaces; inverse spectra; cardinality invariants § 7. General dimension theory § 8. New branches of general topology: infinite-dimensional topology; the theory of retracts; shape theory Conclusion References

References

82