Some properties of rectifiable spaces

• Autorzy: Tuyen L. Q. , Tuyen O. N.

Identyfikatory

DOI

10.1515/fascmath-2018-0012

• Języki publikacji: EN

Abstrakty

EN

In this paper, we give some properties of rectifiable spaces and their relationship with P-space, metrizable space. These results are used to generalize some results in [2], [9] and [12]. Moreover, we give the conditions for a rectifiable space to be second-countable.

Słowa kluczowe

EN

topological group; rectifiable space; P-space; metrizable space; second-countable space

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2018
• Tom: Nr 60
• Strony: 181--190
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Tuyen L. Q.

• Department of Mathematics Da Nang University Vietnam

autor

Tuyen O. N.

• Ong Ich Khiem High School Da Nang city, Vietnam

Bibliografia

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• [8] Lin F.C., Liu C., Lin S., A note on rectifiable spaces, Topology Appl., 159(2012), 2090-2101.
• [9] Lin F.C., Shen R.X., On rectifiable spaces and paratopological groups, Topology Appl., 158(2011), 597-610.
• [10] Lin F.C., Zhang J., Zhang K.X., Locally σ-compact rectifiable spaces, Topology Appl., 193(2015), 182-191.
• [11] Lin S., Point-Countable Covers and Sequence-Covering Mappings, Chinese Science Press, Beijing, 2002.
• [12] Liu C., Ludwig L.D., k-Frechet-Urysohn spaces, Houston J. Math., 31(2005), 391-401.
• [13] Michael E.,ϗ0-spaces, J. Math. Mech., 15(1966), 983-1002.
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• [15] Peng L.-X., Guo S.J., Two questions on rectifiable spaces and related conclusions, Topology Appl., 159(2012), 3335-3339.
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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).