## Pacific Journal of Mathematics

- Pacific J. Math.
- Volume 60, Number 1 (1975), 31-37.

### Compactness-like properties for generalized weak topological sums.

**Full-text: Open access**

#### Article information

**Source**

Pacific J. Math., Volume 60, Number 1 (1975), 31-37.

**Dates**

First available in Project Euclid: 8 December 2004

**Permanent link to this document**

https://projecteuclid.org/euclid.pjm/1102868620

**Mathematical Reviews number (MathSciNet)**

MR0431088

**Zentralblatt MATH identifier**

0307.54016

**Subjects**

Primary: 54B10: Product spaces

#### Citation

Comfort, W. W. Compactness-like properties for generalized weak topological sums. Pacific J. Math. 60 (1975), no. 1, 31--37. https://projecteuclid.org/euclid.pjm/1102868620

#### References

- [1] W. W. Comfort and Anthony W. Hager, Uniform continuity in topological groups, in Proc. January, 1974 Rome symposium on topological groups and Lie groups, Rome, 1975, to appear.
- [2] W. W. Comfort, A. Hajnal, and I. Juhasz, Compactness-like properties of generalized weak products, to appear.
- [3] W. W. Comfort and S. Negrepontis, On families of large oscillation, Fundamenta Math., 75 (1972), 275-290.
- [4] W. W. Comfort and S. Negrepontis, Continuous functions on products with strong topologies, in General topology and its relations to modern analysis and algebra HI, Proc. third (1971) Prague topological symposium, pp. 89-92, 1972.
- [5] W. W. Comfort and S. Negrepontis, The theory of ultrafilters, Grundlehren der math. Wssenschaften Band 211, Springer-Verlag, Heidelberg, 1974.
- [6] W. W. Comfort and S. Negrepontis, manuscript in preparation.
- [7] W. W. Comfort and Kenneth A. Ross, Pseudocompactnessand uniform continuity in topological groups, Pacific J. Math., 16 (1966), 483-486.
- [8] W. W. Comfort and Victor Saks, Countably compact groups and finest totally bounded topologies, Pacific J. Math., 49 (1973), 33-44.
- [9] H. H. Corson, Normality in subsets of product spaces, American J. Math., 81 (1959), 784-796.
- [10] P. Erds and R. Rado, Intersection theorems for systems of sets II, J. London Math. Soc, 44 (1969), 467-479.
- [11] G. Fuhrken, Languages with added quantifier "There exist at least H", in The theory of models, Proc. 1963 International Berkeley Symposium, Amsterdam 1965, pp. 121-131.Mathematical Reviews (MathSciNet): MR39:2624
- [12] Elwood W. Greene, A survey of [a, ]-compactness and related properties, Master's thesis, Wesleyan University, 1975.
- [13] J. E. Vaughan, Product spaces with compactness-like properties, Duke Math. J., 39 (1972), 611-617.
- [14] J. E. Vaughan, Some properties related to [a, ]-compactness,to appear.
- [15] J. E. Vaughan, Convergence, closed projections, and compactness, to appear.

#### Pacific Journal of Mathematics, A Non-profit Corporation

### More like this

- Compact generalized polygons and Moore graphs as stable graphs

Rosehr, Nils, Innovations in Incidence Geometry, 2010 - Chapter X. Topological Spaces

Anthony W. Knapp, Basic Real Analysis, Digital Second Edition (East Setauket, NY: Anthony W. Knapp, 2016), 2016 - Fixed point properties for semigroups of non-expansive mappings in conjugate Banach spaces

Salame, Khadime, Bulletin of the Belgian Mathematical Society - Simon Stevin, 2016

- Compact generalized polygons and Moore graphs as stable graphs

Rosehr, Nils, Innovations in Incidence Geometry, 2010 - Chapter X. Topological Spaces

Anthony W. Knapp, Basic Real Analysis, Digital Second Edition (East Setauket, NY: Anthony W. Knapp, 2016), 2016 - Fixed point properties for semigroups of non-expansive mappings in conjugate Banach spaces

Salame, Khadime, Bulletin of the Belgian Mathematical Society - Simon Stevin, 2016 - Projections and invariant means related to some Banach algebras

Ghaffari, Ali, Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011 - Limit theorems for Betti numbers of extreme sample clouds with application to persistence barcodes

Owada, Takashi, The Annals of Applied Probability, 2018 - Asymptotically cylindrical Calabi–Yau $3$–folds from weak Fano $3$–folds

Corti, Alessio, Haskins, Mark, Nordström, Johannes, and Pacini, Tommaso, Geometry & Topology, 2013 - A note on closedness of algebraic sum of sets

Przybycień, Hubert, Tbilisi Mathematical Journal, 2016 - Qualitative robustness of statistical functionals under strong mixing

Zähle, Henryk, Bernoulli, 2015 - Triangulations of 3–dimensional pseudomanifolds with an application to state-sum invariants

Banagl, Markus and Friedman, Greg, Algebraic & Geometric Topology, 2004 - A necessary and sufficient condition for coincidence with the weak topology

Clanin, Joseph and Lee, Kristopher, Involve: A Journal of Mathematics, 2017