Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Sierpiński family

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Families of Increasing Sequences Possessing the Harmonic Series Property

100%

Wituła R., Hetmaniok E., Słota D., Institute of Mathematics S. U. o. T., roman.witula@polsl.pl

Acta Universitatis Lodziensis. Folia Mathematica

2013

tom vol. 18

We prove in this paper that any maximal, with respect to inclusion, subset of N – the family of all increasing sequences of positive integers – possessing the harmonic series property has the cardinality of the continuum. Moreover, we prove that for any countable (infinite) set exists an "orthogonal" family such that it hold some facts. All facts are proved constructively, by using the modified version of the classical Sierpiński family of increasing sequences having the cardinality of the continuum.

Ograniczanie wyników

1 Acta Universitatis Lodziensis. Folia Mathematica

1 Hetmaniok E.

1 Institute of Mathematics S. U. o. T.

1 Słota D.

1 Wituła R.

1 roman.witula@polsl.pl

1 2013

Wyniki wyszukiwania

Families of Increasing Sequences Possessing the Harmonic Series Property