Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Index of regularity

Sortuj według:

Ogranicz wyniki do:

Cardinal invariants of paratopological groups

100%

Sánchez I.

Topological Algebra and its Applications

2013

tom 1

37-45

We show that a regular totally ω-narrow paratopological group G has countable index of regularity, i.e., for every neighborhood U of the identity e of G, we can find a neighborhood V of e and a countable family of neighborhoods of e in G such that ∩W∈γ VW−1⊆ U. We prove that every regular (Hausdorff) totally !-narrow paratopological group is completely regular (functionally Hausdorff). We show that the index of regularity of a regular paratopological group is less than or equal to the weak Lindelöf number. We also prove that every Hausdorff paratopological group with countable π- character has a regular Gσ-diagonal.

Ograniczanie wyników

1 Topological Algebra and its Applications

1 Sánchez I.

1 2013

Wyniki wyszukiwania

Cardinal invariants of paratopological groups