# An example of a non-topologizable algebra

Studia Mathematica (1995)

- Volume: 116, Issue: 1, page 85-87
- ISSN: 0039-3223

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topFrankiewicz, R., and Plebanek, G.. "An example of a non-topologizable algebra." Studia Mathematica 116.1 (1995): 85-87. <http://eudml.org/doc/216221>.

@article{Frankiewicz1995,

abstract = {We present an example of an algebra that is generated by $ω_1$ elements, and cannot be made a topological algebra. This answers a problem posed by W. Żelazko.},

author = {Frankiewicz, R., Plebanek, G.},

journal = {Studia Mathematica},

keywords = {non-topologizable algebra},

language = {eng},

number = {1},

pages = {85-87},

title = {An example of a non-topologizable algebra},

url = {http://eudml.org/doc/216221},

volume = {116},

year = {1995},

}

TY - JOUR

AU - Frankiewicz, R.

AU - Plebanek, G.

TI - An example of a non-topologizable algebra

JO - Studia Mathematica

PY - 1995

VL - 116

IS - 1

SP - 85

EP - 87

AB - We present an example of an algebra that is generated by $ω_1$ elements, and cannot be made a topological algebra. This answers a problem posed by W. Żelazko.

LA - eng

KW - non-topologizable algebra

UR - http://eudml.org/doc/216221

ER -

## References

top- [1] R. Frankiewicz and P. Zbierski, Hausdorff Gaps and Limits, North-Holland, Amsterdam, 1994. Zbl0821.54001
- [2] V. Müller, On topologizable algebras, Studia Math. 99 (1991), 149-153. Zbl0764.46046
- [3] W. Żelazko, Selected Topics in Topological Algebras, Aarhus Univ. Lecture Notes 31, 1971. Zbl0221.46041
- [4] W. Żelazko, Example of an algebra which is non-topologizable as a locally convex algebra, Proc. Amer. Math. Soc. 110 (1990), 947-949. Zbl0727.46025
- [5] W. Żelazko, On topologization of countably generated algebras, Studia Math. 112 (1994), 83-88. Zbl0832.46042

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