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Semi-quotient mappings and spaces

100%

Khan M. u. D., Noreen R., Siddique Bosan M.

Open Mathematics

2016

tom 14

nr 1

1014-1022

In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.

Neighborhood base at the identity of free paratopological groups

100%

Elfard A. S.

Topological Algebra and its Applications

2013

tom 1

31-36

In 1985, V. G. Pestov described a neighborhood base at the identity of free topological groups on a Tychonoff space in terms of the elements of the fine uniformity on the Tychonoff space. In this paper, we extend Postev’s description to the free paratopological groups where we introduce a neighborhood base at the identity of free paratopological groups on any topological space in terms of the elements of the fine quasiuniformity on the space.

Ograniczanie wyników

1 Open Mathematics

1 Topological Algebra and its Applications

1 Elfard A. S.

1 Khan M. u. D.

1 Noreen R.

1 Siddique Bosan M.

1 2016

1 2013

Wyniki wyszukiwania

Semi-quotient mappings and spaces

Neighborhood base at the identity of free paratopological groups