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2 2005

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Weil homomorphism in non-commutative differential spaces

Jagodziński T., Sasin W.

Demonstratio Mathematica

2005

Vol. 38, nr 2

507--516

In this paper we construct Weil homomorphism in locally free module over a non-commutative differential space, which is a generalization of Sikorski differential space [6]. We consider real case, but the complex case can be done analogusly.

Sikorski and Frolicher CW-complexes compared

Ntumba P. P.

Demonstratio Mathematica

2005

Vol. 38, nr 1

207--221

In this paper we analyze the underlying topological space of a Sikorski CW-complex and the close relationship between Sikorski CW-complexes and Frolicher CW-complexes. Sikorski and Frolicher CW-complexes are analogues of CW-complexes in the categories of differential spaces (a la Sikorski) and Frolicher spaces relatively.