# Spaces whose n th power is weakly infinite-dimensional but whose (n+1) th power is not

@inproceedings{Pol1993SpacesWN, title={Spaces whose n th power is weakly infinite-dimensional but whose (n+1) th power is not}, author={El.zbieta Pol}, year={1993} }

For every natural number n we construct a metrizable separable space Y such that yn is weakly infinite-dimensional (moreover, is a C-space) but yn+1 is strongly infinite-dimensional.

## 12 Citations

A complete C-space whose square is strongly infinite-dimensional

- Mathematics
- 2006

We construct a hereditarily disconnected, complete C-space whose square is strongly infinite-dimensional, and a totally disconnected C-space which is not countable-dimensional (this space is not…

Some classes of weakly infinite-dimensional spaces

- Mathematics
- 2008

A new class of m-C-spaces is introduced and studied. The 2-C-spaces coincide with the spaces weakly infinite-dimensional in the sense of Alexandroff, and the compact ∞-C-spaces are Haver's C-spaces.…

On strategies for selection games related to countable dimension

- Mathematics
- 2021

Two selection games from the literature, Gc(O,O) and G1(Ozd,O), are known to characterize countable dimension among certain spaces. This paper studies their perfectand limitedinformation strategies,…

Weakly infinite-dimensional spaces

- Mathematics
- 2007

In this survey article two new classes of spaces are considered: --spaces and ---spaces, . They are intermediate between the class of weakly infinite-dimensional spaces in the Alexandroff sense and…

Selective Strong Screenability

- Mathematics
- 2018

It is found that a great deal of the proofs about selective screenability readily carry over to proofs for the analogous version for selective strong screenability.

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A compact metric space is constructed which is neither a countable union of zero-dimensional sets nor has an essential map onto the Hilbert cube. We consider only separable metrizable spaces and a…

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We show that refinable maps defined on compacta preserve Property C. H. Kato has proved the analogous result for weakly infinite dimensional spaces. We also show that if f is a map from a compact C…

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