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UNIQUE, FOUNDATIONAL PROPERTIES OF COMPLETELY REGULAR, NORMAL, AND RELATED PROPERTIES
English

Charles Dorsett
2017 Journal of Mathematical Sciences. Advances and Applications  
In this paper, additional unique, foundational roles for each of completely regular, , 2 1 3 T normal, normal , 0 T normal , 0 R and 4 T are established.  ...  Let ( ) T X , be a space, let R be the equivalence relation on X defined by xRy iff Below recent discoveries for weakly Po spaces and properties are applied to resolve the questions above about completely  ...  F Completely regular is the only topological property weaker than (completely regular and completely regular are the only two topological properties stronger than or equal to completely regular, ) and  ... 
doi:10.18642/jmsaa_7100121797 fatcat:263jj2zw2bh5dksrn3zfutwkz4

WEAKLY (REGULAR)O AND NOT-REGULAR PROPERTIES, AND EQUIVALENT SEPARATION AXIOMS
English

2016 Journal of Mathematical Sciences. Advances and Applications  
Dorsett, Weakly P2 and related properties, Fundamental Journal of Mathematics and Mathematical Sciences 4(1) (2015), 11-21. [6] C.  ...  Theorem 2 . 2 2. 3 T is a weakly P2, weakly P1, and weakly Po property with weakly = 3 T weakly (regular)2 = weakly (regular)1 o.  ... 
doi:10.18642/jmsaa_7100121708 fatcat:tdyancva6ffpvfmxl6lrdqwaiu

NFINITELY MANY NEW CHARACTERIZATIONS OF URYSOHN, T3, T312, WEAKLY URYSOHN, REGULAR, AND COMPLETELY REGULAR OBTAINED BY APPLYING PROPERTIES OF T0-IDENTIFICATION SPACES, T0, AND T0-IDENTIFICATION P PROPERTIES
English

Charles Dorsett
2017 Journal of Mathematical Sciences. Advances and Applications  
Characterizations ofWeakly Urysohn, Regular, and Completely Regular Theorem 2.1. Let ( ) be a space. Then ( ) is Urysohn, and since Urysohn is a topological property, ( ) is weakly Urysohn. Proof.  ...  (a) ( ) T X , is regular (completely regular), (b) ( ) ( ) T X Q X , , 0 is regular (completely regular), and (c) ( ) ( ) T X Q X , , 0 is ( ). 2 2 3 3 T T The regular property was introduced in 1921 [  ...  has property (weakly Urysohn) and for a fixed natural number is homeomorphic to has property (weakly Urysohn) and there exists a natural number p such that ( ) has property weakly (weakly Urysohn)o and  ... 
doi:10.18642/jmsaa_7100121751 fatcat:773nlvcfw5di5pazw5naeq5obu

DEFAULT LOGICS: A UNIFIED VIEW

Christine Froidevaux, Jérôme Mengin
1994 Computational intelligence  
Proof theoretical and semantical aspects are investigated.  ...  It has been widely studied, and various definitions have been proposed for it. Most of the variants have been defined by means of fixed points of some operator.  ...  Acknowledgments The authors wish to thank DRUMS partners, especially Mike Clarke, Mike Hopkins and Nick Wilson for their support and fruitful discussions.  ... 
doi:10.1111/j.1467-8640.1994.tb00168.x fatcat:p2sqvsrwhbcytbm5qqvmzuzcdu

Regular Sequences of Quasi-Nonexpansive Operators and Their Applications [article]

Andrzej Cegielski, Simeon Reich, Rafał Zalas
2018 arXiv   pre-print
We are interested, in particular, in weakly, boundedly and linearly regular sequences of operators.  ...  Finally, we show an application of regular sequences of operators to variational inequality problems.  ...  We are grateful to an anonymous referee for his/her comments and remarks which helped us to improve our manuscript.  ... 
arXiv:1710.00534v2 fatcat:nvykrdwvcncvlbhatmmde55nci

Page 2541 of Mathematical Reviews Vol. , Issue 99d [page]

1991 Mathematical Reviews  
the relation between the general packing constant and measures of noncompactness are discussed; finally, an application to local almost uniformly smooth general packings is given.” 99d:46022 46B20 Wojtowicz  ...  Theorem 1: Let E be a WCD Banach space, and let W be an infinite-dimensional, weakly-star separa- ble and weakly-star closed subset of E’.  ... 

A Weakly Supervised Approach to Train Temporal Relation Classifiers and Acquire Regular Event Pairs Simultaneously [article]

Wenlin Yao, Saipravallika Nettyam, Ruihong Huang
2017 arXiv   pre-print
We focus on detecting after and before temporal relations and design a weakly supervised learning approach that extracts thousands of regular event pairs and learns a contextual temporal relation classifier  ...  classifier, which can further recognize new temporal relation contexts and identify new regular event pairs.  ...  Conclusion We presented a weakly supervised bootstrapping approach that learns both regular event pairs and a contextual temporal relation classifier, by exploring the observation that regular event pairs  ... 
arXiv:1707.09410v1 fatcat:ey6sblepxzbcton4z5ij6dkd2e

Constructive reflection principles for regular theories [article]

Henrik Forssell, Peter LeFanu Lumsdaine
2016 arXiv   pre-print
However, the embedding of a structure into its chase-completion still satisfies a conservativity property, which suffices for applications such as the completeness of regular logic with respect to Tarski  ...  Moreover, this exhibits Mod(T) as weakly reflective in Str(Σ). We investigate this in the constructive setting. The basic construction is unproblematic, however, it is no longer a weak reflection.  ...  Gylterud, Jiří Rosický, Michael Rathjen, and Marek Zawadowski.  ... 
arXiv:1604.03851v1 fatcat:6j2saperfbcstnb4ie4kpi4dxy

NECESSARY AND SUFFICIENT CONDITIONS FOR A SPACE TO HAVE A MAXIMAL, PROPER, DENSE, T31/2 SUBSPACE
English

Charles Dorsett
2018 Journal of Mathematical Sciences. Advances and Applications  
Within this paper necessary and sufficient conditions for a space to have a maximal, proper, dense, 2 1 3 T subspace are given and subspaces properties of such spaces are further investigated.  ...  Dorsett, Additional properties for weakly Po and related properties with an application, Journal of Mathematical Sciences: Advances and Applications 47 (2017), 53-64.  ...  Dorsett, Complete characterizations of weakly Po and related spaces and properties, Journal of Mathematical Sciences: Advances and Applications 45 (2017C.  ... 
doi:10.18642/jmsaa_7100121935 fatcat:75j3ds3nabfsfpd5myf5qsrbia

Weakly hereditary regular closure operators

Maria Manuel Clementino
1993 Topology and its Applications  
., Weakly hereditary regular closure operators, Topology and its Applications 49 (1993) 129-139. We present characterizations of subcategories inducing weakly hereditary regular closure operators.  ...  Weakly hereditary regular closure operators, in Fop and in Abelian categories satisfying some conditions, are shown to correspond to disconnectednesses and torsion-free subcategories, respectively.  ...  •i Using this result we are able to relate epireflective subcategories of E which induce weakly hereditary regular closure operators with torsion-free subcategories.  ... 
doi:10.1016/0166-8641(93)90039-g fatcat:4o3gpujznjeihdbisbq6rrowwy

Some Variants of Normal Čech Closure Spaces via Canonically Closed Sets

Ria Gupta, Ananga Kumar Das
2021 Mathematics  
New generalizations of normality in Čech closure space such as π-normal, weakly π-normal and κ-normal are introduced and studied using canonically closed sets.  ...  It is observed that the class of κ-normal spaces contains both the classes of weakly π-normal and almost normal Čech closure spaces.  ...  Acknowledgments: The authors are thankful to the referee for many valuable remarks that essentially improved the paper, and the first author is thankful to Department of Science and Technology (DST), Government  ... 
doi:10.3390/math9111225 fatcat:zlmtu7nkebhzdndozqhmkege5a

The Tutte group of a weakly orientable matroid

Marc Wagowski
1989 Linear Algebra and its Applications  
We show that a matroid M is weakly orientable if and only if the element cM (an abstraction of -1) of its Tutte group is not a square. LINEAR ALGEBRA AND ITS APPLICATIONS 117: 21-24 (1989) 21 0  ...  A binary matroid M is regular if and only if Ed 4 (UM)2. Proof.  ...  A matroid M is weakly orientable if and only if Ed 4 (W2.  ... 
doi:10.1016/0024-3795(89)90544-2 fatcat:xfv4rqp6kbaixewoj5y2srihj4

Semilocal and semiregular group rings

J.B. Srivastava, Sudesh K. Shah
1980 Indagationes Mathematicae (Proceedings)  
Some important applications to group rings are given. Semiregular rings and group rings are studied in Section 2 and in Section 3 we have studied weakly perfect group rings.  ...  For a more detailed study of semiregular rings and related topics, we refer to [3] and [4].  ...  For a more detailed study of semiregular rings and related topics, we refer to [3] and [4] .  ... 
doi:10.1016/1385-7258(80)90035-9 fatcat:lmbvy24p3rbo7h47zarrhg733m

THE EXTENSION OF WEAKLY P3 PROPERTIES AND THE INTERNALIZATION OF THE WEAKLY P(URYSOHN) AND WEAKLY P3 PROCESSES
English

Charles Dorsett
2018 Journal of Mathematical Sciences. Advances and Applications  
In this paper, the investigation and use of tion identifica -0 T spaces continue with the extension of known weakly P3 properties and each of the weakly P(Urysohn) and weakly P3 processes are internalized  ...  Hence weakly Q3 = ((weakly Q(Urysohn)) and regular) = ((weakly Q2) and regular) = ((weakly Q1) and regular) = ((weakly Qo) and regular).  ...  Thus weakly Q3 implies ((weakly Q(Urysohn)) and regular) = ((weakly Q2) and regular) = ((weakly Q1) and regular) = ((weakly Qo and regular) and ( ) weakly Q3.  ... 
doi:10.18642/jmsaa_7100121980 fatcat:hxsp2qbrrjcpjesnxtmmetzauy

A Weakly Supervised Approach to Train Temporal Relation Classifiers and Acquire Regular Event Pairs Simultaneously

Wenlin Yao, Saipravallika Nettyam, Ruihong Huang
2017 RANLP 2017 - Recent Advances in Natural Language Processing Meet Deep Learning  
We focus on detecting after and before temporal relations and design a weakly supervised learning approach that extracts thousands of regular event pairs and learns a contextual temporal relation classifier  ...  classifier, which can further recognize new temporal relation contexts and identify new regular event pairs.  ...  Conclusion We presented a weakly supervised bootstrapping approach that learns both regular event pairs and a contextual temporal relation classifier, by exploring the observation that regular event pairs  ... 
doi:10.26615/978-954-452-049-6_103 dblp:conf/ranlp/YaoNH17 fatcat:xvkrkupukvczpekg4yjndgca2m
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