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Some properties of congurence relations on orthomodular lattices

100%

Dorfer G.

Discussiones Mathematicae - General Algebra and Applications

2001

tom 21

nr 1

57-66

In this paper congruences on orthomodular lattices are studied with particular regard to analogies in Boolean algebras. For this reason the lattice of p-ideals (corresponding to the congruence lattice) and the interplay between congruence classes is investigated. From the results adduced there, congruence regularity, uniformity and permutability for orthomodular lattices can be derived easily.

Fundamental groups of one-dimensional spaces

51%

Dorfer G., Thuswaldner J., Winkler R.

Fundamenta Mathematicae

2013

tom 223

nr 2

137-169

Let X be a metrizable one-dimensional continuum. We describe the fundamental group of X as a subgroup of its Čech homotopy group. In particular, the elements of the Čech homotopy group are represented by sequences of words. Among these sequences the elements of the fundamental group are characterized by a simple stabilization condition. This description of the fundamental group is used to give a new algebro-combinatorial proof of a result due to Eda on continuity properties of homomorphisms from the fundamental group of the Hawaiian earring to that of X.

Ograniczanie wyników

1 Discussiones Mathematicae - General Algebra and Applications

1 Fundamenta Mathematicae

2 Dorfer G.

1 Thuswaldner J.

1 Winkler R.

1 2013

1 2001

Wyniki wyszukiwania

Some properties of congurence relations on orthomodular lattices

Fundamental groups of one-dimensional spaces