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1
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Componentwise injective models of functors to DGAs

100%
Golasiński M.
Colloquium Mathematicum
|
1997
|
tom 73
|
nr 1
83-92
EN
The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.
2
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Residue class rings of real-analytic and entire functions

64%
Golasiński M., Henriksen M.
Colloquium Mathematicum
|
2006
|
tom 104
|
nr 1
85-97
EN
Let 𝓐(ℝ) and 𝓔(ℝ) denote respectively the ring of analytic and real entire functions in one variable. It is shown that if 𝔪 is a maximal ideal of 𝓐(ℝ), then 𝓐(ℝ)/𝔪 is isomorphic either to the reals or a real closed field that is an η₁-set, while if 𝔪 is a maximal ideal of 𝓔(ℝ), then 𝓔(ℝ)/𝔪 is isomorphic to one of the latter two fields or to the field of complex numbers. Moreover, we study the residue class rings of prime ideals of these rings and their Krull dimensions. Use is made of a classical characterization of algebraically closed fields due to E. Steinitz and techniques described in L. Gillman and M. Jerison's book on rings of continuous functions.
3
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Comultiplications of the Wedge of Two Moore Spaces

64%
Golasiński M., Gonçalves D. L.
Colloquium Mathematicum
|
1998
|
tom 76
|
nr 2
229-242
4
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Co-H-structures on equivariant Moore spaces

64%
Arkowitz M., Golasiński M.
Fundamenta Mathematicae
|
1994-1995
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tom 146
|
nr 1
59-67
EN
Let G be a finite group, $\mathbb{O}_G$ the category of canonical orbits of G and $A : \mathbb{O}_G → \mathbb{A}$b a contravariant functor to the category of abelian groups. We investigate the set of G-homotopy classes of comultiplications of a Moore G-space of type (A,n) where n ≥ 2 and prove that if such a Moore G-space X is a cogroup, then it has a unique comultiplication if dim X < 2n - 1. If dim X = 2n-1, then the set of comultiplications of X is in one-one correspondence with $Ext^{n-1}(A, A ⊗ A)$. Then the case $G = ℤ_{p^k}$ leads to an example of infinitely many G-homotopically distinct G-maps $φ_i : X → Y$ such that $φ_i^H$, $φ_j^H : X^H → Y^H$ are homotopic for all i,j and all subgroups H ⊆ G.
5
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A note on generalized equivariant homotopy groups

51%
Golasiński M., Gonçalves D., Wong P.
Banach Center Publications
|
2009
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tom 85
|
nr 1
179-185
EN
In this paper, we generalize the equivariant homotopy groups or equivalently the Rhodes groups. We establish a short exact sequence relating the generalized Rhodes groups and the generalized Fox homotopy groups and we introduce Γ-Rhodes groups, where Γ admits a certain co-grouplike structure. Evaluation subgroups of Γ-Rhodes groups are discussed.
6
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The homotopy category of chain complexes is a homotopy category

45%
Golasiński M., Gromadzki G.
Colloquium Mathematicum
|
1982
|
tom 47
|
nr 2
173-178
7
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Homotopies of small categories

32%
Golasiński M.
Fundamenta Mathematicae
|
1981
|
tom 114
|
nr 3
209-217
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