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Author: Bob Richardson
Publisher:
ISBN:
Category : Topological spaces
Languages : en
Pages : 76
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Book Description
The first chapter of this thesis expands on the semi-closure operator discussed by Hong in his paper, and in particular how sets behave in a semi-closure space. Hong notes that a semi-closure space is a generalized topological space, and in this thesis, an example of a semi-closure space is shown to not be topological; i.e. semi-closure spaces are less restrictive. In the second chapter, continuity of functions between two semi-closure spaces, separation of points within a semi-closure space, and compactness of semi-closure spaces are established. An example of a T2 semi-closure space is found to not be topological, again showing semi-closure spaces to less restrictive. The third chapter explores how extensions of topologies discussed by Hicks can be applied to semi-closure spaces. By intersecting closed subsets from semi-closure subspaces with arbitrary sets in the larger space, we increase, or extend, the number of closed sets in our space.
Author: Bob Richardson
Publisher:
ISBN:
Category : Topological spaces
Languages : en
Pages : 76
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Book Description
The first chapter of this thesis expands on the semi-closure operator discussed by Hong in his paper, and in particular how sets behave in a semi-closure space. Hong notes that a semi-closure space is a generalized topological space, and in this thesis, an example of a semi-closure space is shown to not be topological; i.e. semi-closure spaces are less restrictive. In the second chapter, continuity of functions between two semi-closure spaces, separation of points within a semi-closure space, and compactness of semi-closure spaces are established. An example of a T2 semi-closure space is found to not be topological, again showing semi-closure spaces to less restrictive. The third chapter explores how extensions of topologies discussed by Hicks can be applied to semi-closure spaces. By intersecting closed subsets from semi-closure subspaces with arbitrary sets in the larger space, we increase, or extend, the number of closed sets in our space.
Author: Niels Schwartz
Publisher: American Mathematical Soc.
ISBN: 0821824600
Category : Commutative algebra
Languages : en
Pages : 134
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Book Description
Much in the same way as classical algebraic varieties are generalized by the theory of schemes, locally semi-algebraic spaces are generalized by a class of locally ringed spaces, called real closed spaces. The underlying spaces of affine real closed spaces are real spectra of rings, the structure sheaves are called real closed sheaves. With these spaces a theory can be developed which is very similar to the theory of schemes. There is a natural functor from the category of semi-algebraic spaces to the category of real closed spaces. Via this functor properties of semi-algebraic spaces and their corresponding real closed spaces can be compared.
Author: Mila Mršević
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Book Description
Let (, ) be a topological space. A point is in the --closure of A, denoted by cl, if each closed neighbourhood of intersects . The pair (, cl) is a closure space, also called a neighbourhood space. A subset is --closed if = cl. --closed sets are closed sets for a new topology on the set . The semi-regularization topology of is denoted by .Various topological properties are considered on (, ), (, ), (, cl) and (, ), in particular connectedness and local connectedness.
Author: A. VADIVEL
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 6
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Book Description
In this paper, we introduce another idea of neutrosophic crisp generalised sets called neutrosophic crisp regular semi closed sets and examined their central properties in neutrosophic crisp topological spaces. We additionally present neutrosophic crisp regular semi closure and neutrosophic crisp regular semi interior and concentrate a portion of their major properties.
Author: A.Mary Margaret
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
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Book Description
The aim of this paper is to introduce and develop a new class of sets namely neutrosophic vague generalized pre-closed sets in neutrosophic vague topological space.
Author: Eduard Čech
Publisher:
ISBN:
Category : Topological spaces
Languages : en
Pages : 904
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Book Description
Author: V. K. Shanthi
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 5
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Book Description
F.Smarandache introduced and developed the concept of Neutrosophic set from the fuzzy sets and intuitionistic fuzzy sets . A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. Aim of this paper is we introduced and studied about Neutrosophic generalized semi closed sets in Neutrosophic topological spaces and its properties are discussed details.
Author: D. Sreeja
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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Book Description
This paper committed to the investigation of Neutrosophic topological spaces. In this paper Generalized Alpha Closed Sets and Generalized Alpha Open Sets are presented. Some of its properties are contemplated.
Author: V. Madhu
Publisher: Springer
ISBN: 3030011208
Category : Mathematics
Languages : en
Pages : 485
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Book Description
This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017 - Volume I. This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering. The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained. These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry. Papers in Volume I are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of Volume II consider differential equations, fluid mechanics, and graph theory.
Author: Yoshiaki Kitaya
Publisher: Springer Nature
ISBN: 9819702488
Category :
Languages : en
Pages : 177
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Book Description
