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A topological version of Bertini's theorem

100%

Piękosz A.

Annales Polonici Mathematici

1995

tom 61

nr 1

89-93

We give a topological version of a Bertini type theorem due to Abhyankar. A new definition of a branched covering is given. If the restriction $π_V: V → Y$ of the natural projection π: Y × Z → Y to a closed set V ⊂ Y × Z is a branched covering then, under certain assumptions, we can obtain generators of the fundamental group π₁((Y×Z)\V).

Commutativeness of Fundamental Groups of Topological Groups

100%

Korniłowicz A.

Formalized Mathematics

2013

tom 21

nr 2

127-131

In this article we prove that fundamental groups based at the unit point of topological groups are commutative [11].

A short proof of Eilenberg and Moore’s theorem

80%

Nogin M.

Open Mathematics

2007

tom 5

nr 1

201-204

In this paper we give a short and simple proof the following theorem of S. Eilenberg and J.C. Moore: the only injective object in the category of groups is the trivial group.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Formalized Mathematics

1 Open Mathematics

1 Korniłowicz A.

1 Nogin M.

1 Piękosz A.

1 2013

1 2007

1 1995

Wyniki wyszukiwania

A topological version of Bertini's theorem

Commutativeness of Fundamental Groups of Topological Groups

A short proof of Eilenberg and Moore’s theorem