A Simpler Proof for the ϵ-δ Characterization of Baire Class One Functions

A Simpler Proof for the ϵ-δ Characterization of Baire Class One Functions

We offer a new and simpler proof of a recent ϵ-δ characterization of Baire class one functions using a theorem by Henri Lebesgue. The proof is more elementary in the sense that it does not use the Baire Category Theorem. Furthermore, the proof requires only that the domain and range be separable met...

Saved in:

書目詳細資料
Main Authors:	Cabral, Emmanuel A, Fenecios, Jonald P
格式:	text
出版:	Archīum Ateneo 2015
主題:	Baire class one function oscillation of a function Polish spaces separable metric spaces Mathematics
在線閱讀:	https://archium.ateneo.edu/mathematics-faculty-pubs/62 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1061&context=mathematics-faculty-pubs
標簽:	添加標簽沒有標簽, 成為第一個標記此記錄!
機構:	Ateneo De Manila University

相似書籍

On Some Properties of Baire-1 Functions
由: Fenecios, Jonald P, et al.
出版: (2013)

Functions of Baire class one
由: Leung, D.H., et al.
出版: (2014)

A gauge approach to an ordinal index of Baire one functions
由: Leung, D.H., et al.
出版: (2014)

K-continuous Functions and Right B1 Compositors
由: Fenecios, Jonald P, et al.
出版: (2012)

On metric-preserving functions
由: Phikul Oudkam
出版: (2006)

On metric-preserving functions
由: Phikul Oudkam
出版: (2001)

Computably and punctually universal spaces
由: Bagaviev, Ramil, et al.
出版: (2024)

Left Baire-1 Compositors and Continuous Functions
由: Fenecios, Jonald P, et al.
出版: (2013)

An open maps and span zero
由: Regacho, Corazon F.
出版: (1994)

Baire one functions and their sets of discontinuity
由: Fenecios, Jonald P, et al.
出版: (2016)

W-distances on a metric space
由: Tammatada Khemaratchatakumthorn
出版: (2008)

W-distances on a metric space
由: Tammatada Khemaratchatakumthorn
出版: (2006)

On fixed point theory for generalized contractions in cone metric spaces via scalarizing
由: Parastoo Zangenehmehr, et al.
出版: (2019)

Convergence Criteria of a Common Fixed Point Iterative Process with Errors for Quasi-Nonexpansive Mappings in Banach Spaces
由: Jutharat Boonsanit
出版: (2016)

The Excluded Minors for Isometric Realizability in the Plane
由: Fiorini, Samuel, et al.
出版: (2017)

Similarity of differential information with subjective prior beliefs
由: Khan, M.A., et al.
出版: (2011)

ความสัมพันธ์ระหว่างการส่งชนิดหดตัววงกว้างและเฉพาะที่บนปริภูมิอิงระยะทางแบบเชื่อมโยงที่กระชับ
由: ปิยะ บัณฑิตสกุลชัย
出版: (2012)

ความสัมพันธ์ระหว่างการส่งชนิดหดตัววงกว้างและเฉพาะที่บนปริภูมิอิงระยะทางแบบเชื่อมโยงที่กระชับ
由: ปิยะ บัณฑิตสกุลชัย
出版: (2004)

Geometry of sample spaces
由: Harms, Philipp, et al.
出版: (2023)

Ricci flow with hyperbolic warped product metrics
由: Ma, L., et al.
出版: (2014)

On a class of monogenic functions in clifford algebra
由: Nguyễn, Cảnh Lương
出版: (2017)

Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball
由: Hu, Bingyang, et al.
出版: (2022)

Rhaly operators on small weighted hardy spaces
由: Lin, Tan Pin, et al.
出版: (2020)

Closed range and cyclicity of composition operators on Hilbert spaces of entire functions
由: Doan, Minh Luan, et al.
出版: (2020)

On the space of SO(d,C)-invariant holomorphic functions which are square-integrable with respect to a Gaussian measure
由: Areerak Kaewthep
出版: (2000)

Multivariate approximation by translates of the Korobov function on Smolyak grids
由: Dinh Dũng, Charles A. Micchelli
出版: (2016)

NON-LINEAR BISEPARATING OPERATORS ON VECTOR-VALUED FUNCTION SPACES
由: FENG XIANZHE
出版: (2018)

Convolution operators on Lorentz spaces over locally compact Vilenkin groups
由: Quek, T.S.
出版: (2014)

Ollivier persistent Ricci curvature-based machine learning for the protein-ligand binding affinity prediction
由: Wee, Junjie, et al.
出版: (2022)

The Hausdorff metric and the contraction mapping theorem
由: Basco, Ma. Theresa F., et al.
出版: (1993)

Certain properties of the domains of multiplication and differentiation operators on a generalized Segal-Bargmann space
由: Benchawan Singphu
出版: (2007)

Certain properties of the domains of multiplication and differentiation operators on a generalized Segal-Bargmann space
由: Benchawan Singphu
出版: (2000)

Joint distribution functions and the generalized optical transfer function
由: Sheppard Jr., C., et al.
出版: (2014)

Condensing class diagrams by analyzing design and network metrics using optimistic classification
由: Thung, Ferdian, et al.
出版: (2014)

Complementarity and equivalence relationships between convex fuzzy systems with symmetry restrictions and wavelets
由: Yu, Y., et al.
出版: (2014)

TWO CONCEPTIONS OF SIMILARITY
由: Blumson, Ben
出版: (2022)

Injective optimal realizations of finite metric spaces
由: Koolen, J.H., et al.
出版: (2014)

Lower semi-continuous functions in Banach lattice = ฟังก์ชั่นกึ่งต่อเนื่องล่างในแลตทิซบานาค / Kiat Sangaroon
由: Kiat Sangaroon
出版: (2014)

About the dark corners in the gene function space of Escherichia coli remaining without illumination by scientific literature
由: Tantoso, Erwin, et al.
出版: (2023)

Exploring “Space Engineers”: A Video Game as an Academic Tool for Simulating Physics Laboratory Classes
由: Bernal, Liam Ryley G., et al.
出版: (2022)