[КНИГА][B] Generalized metric spaces and map**s

S Lin, Z Yun - 2016 - Springer
The uniqueness of this book lies in describing generalized metric spaces by means of
map**s. Back in 1961, Alexandroff [3] proposed the idea of using the map** method to …

[HTML][HTML] Recent Progress on Point-Countable Covers and Sequence-Covering Map**s

S Lin, J Zhang - Axioms, 2024 - mdpi.com
This paper is dedicated to the memory of Professor Gary Gruenhage (1947–2023). This
survey introduces the formation and early development of the topic of point-countable covers …

[PDF][PDF] Remarks on sequence-covering closed maps

LQ Tuyen - Fasciculi Mathematici, 2014 - fasciculi-mathematici.put.poznan.pl
FASCICULIMATHEMATICI Page 1 FASCICULIMATHEMATICI Nr 53 2014 Luong Quoc Tuyen
REMARKS ON SEQUENCE-COVERING CLOSED MAPS Abstract. In this paper, we prove that …

On spaces with point-star networks consisting of cs-finite cs⁎-coverings

Y Huang, Z Tang, S Lin - Topology and its Applications, 2021 - Elsevier
In this paper, by a finite-type property P, some characterizations of point-star networks
consisting of P and cs⁎-coverings are discussed in Cauchy sn-symmetric spaces. Then it is …

[HTML][HTML] Compact-star networks and the images of metric spaces under C-map**s

S Lin, Y Ge, X Zhou - Topology and its Applications, 2020 - Elsevier
A sequence {P n} n∈ N of covers of a space X is called a compact-star network of X if for
each open set U of X and each compact subset K⊂ U, there is an n∈ N such that st (K, P …

Remarks on sequence-covering maps

LQ Tuyen - Commentationes Mathematicae Universitatis Carolinae, 2012 - dml.cz
In this paper, we prove that each sequence-covering and boundary-compact map on $ g $-
metrizable spaces is 1-sequence-covering. Then, we give some relationships between …

About $ wcs $-covers and $ wcs^* $-networks on the Vietoris hyperspace $\mathcal {F}(X) $

LQ Tuyen, OV Tuyen, PD Tuan, NX Truc - Commentationes …, 2023 - eudml.org
Abstract top We study some generalized metric properties on the hyperspace ℱ (X) of finite
subsets of a space X endowed with the Vietoris topology. We prove that X has a point-star …

[PDF][PDF] Some characterizations of spaces with locally countable networks

LQ Tuyen - Matematički vesnik, 2014 - eudml.org
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[PDF][PDF] Fifty years of “Map**s and Spaces”

S Lin - Sichuan Norm. Univ. Nat. Sci, 2017 - researchgate.net
A famous survey “Map**s and Spaces” written by AV Arhangel'skiı in 1966 give a powerful
driving force to general topology, especially in the theory of generalized metric spaces. This …