Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

A dimensional property of Cartesian product

100%

Levin M.

Fundamenta Mathematicae

2013

tom 220

nr 3

281-286

We show that the Cartesian product of three hereditarily infinite-dimensional compact metric spaces is never hereditarily infinite-dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.

A Z-set unknotting theorem for Nöbeling spaces

100%

Levin M.

Fundamenta Mathematicae

2009

tom 202

nr 1

1-41

We prove a Z-set unknotting theorem for Nöbeling spaces.

Universal acyclic resolutions for arbitrary coefficient groups

100%

Levin M.

Fundamenta Mathematicae

2003

tom 178

nr 2

159-169

We prove that for every compactum X and every integer n ≥ 2 there are a compactum Z of dimension ≤ n+1 and a surjective $UV^{n-1}$-map r: Z → X such that for every abelian group G and every integer k ≥ 2 such that $dim_G X ≤ k ≤ n$ we have $dim_G Z ≤ k$ and r is G-acyclic.

Ograniczanie wyników

3 Fundamenta Mathematicae

3 Levin M.

1 2013

1 2009

1 2003

Wyniki wyszukiwania

A dimensional property of Cartesian product

A Z-set unknotting theorem for Nöbeling spaces

Universal acyclic resolutions for arbitrary coefficient groups