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A criterion of SNT(X) = {[X]} for hyperformal spaces

100%

Ni J.

Open Mathematics

2009

tom 7

nr 2

224-229

We will give a condition characterizing spaces X with SNT(X) = {[X]} which generalizes the corresponding result of McGibbon and Moller [8] for rational H-spaces.

A model of quotient spaces

64%

Hattab H.

Topological Algebra and its Applications

2017

tom 5

nr 1

13-18

Let R be an open equivalence relation on a topological space E. We define on E a new equivalence relation ̃ℜ̅ by x̃ ̃ℜ̅y if the closure of the R-trajectory of x is equal to the closure of the R-trajectory of y. The quotient space E/̃ ̃ℜ̅ is called the trajectory class space. In this paper, we show that the space E/̃ ̃ℜ̅ is a simple model of the quotient space E/R. This model can provide a finite model. Some applications to orbit spaces of groups of homeomorphisms and leaf spaces are given.

Ograniczanie wyników

1 Open Mathematics

1 Topological Algebra and its Applications

1 Hattab H.

1 Ni J.

1 2017

1 2009

Wyniki wyszukiwania

A criterion of SNT(X) = {[X]} for hyperformal spaces

A model of quotient spaces