Studies in Topology
- 1st Edition - January 1, 1975
- Imprint: Academic Press
- Editors: Nick M. Stavrakas, Keith R. Allen
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 4 6 8 7 - 1
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 5 9 1 1 - 6
Studies in Topology is a compendium of papers dealing with a broad portion of the topological spectrum, such as in shape theory and in infinite dimensional topology. One paper… Read more
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Request a sales quoteStudies in Topology is a compendium of papers dealing with a broad portion of the topological spectrum, such as in shape theory and in infinite dimensional topology. One paper discusses an approach to proper shape theory modeled on the "ANR-systems" of Mardesic-Segal, on the "mutations" of Fox, or on the "shapings" of Mardesic. Some papers discuss homotopy and cohomology groups in shape theory, the structure of superspace, on o-semimetrizable spaces, as well as connected sets that have one or more disconnection properties. One paper examines "weak" compactness, considered as either a strengthening of absolute closure or a weakening of relative compactness (subject to entire topological spaces or to subspaces of larger spaces). To construct spaces that have only weak properties, the investigator can use the various productivity theorems of Scarborough and Stone, Saks and Stephenson, Frolik, Booth, and Hechler. Another paper analyzes the relationship between "normal Moore space conjecture" and productivity of normality in Moore spaces. The compendium is suitable for mathematicians, physicists, engineers, and other professionals involved in topology, set theory, linear spaces, or cartography.
Contributors
Preface
Acknowledgments
Birth of The Polish School of Mathematics
Alternative Approaches to Proper Shape Theory
On the Existence and Uniqueness Theorems of R. S. Pierce for Extensions of Zero-Dimensional Compact Metric Spaces
Mapping Continua onto the Cone over the Cantor Set
Nearness Spaces and Extensions of Topologicai Spaces
On Several Problems of the Theory of Shape
Some Results on (E, βE)—Compactness
Torodial Decompositions of Manifolds Yield Factors of Manifolds
Homotopy and Cohomology Groups in Shape Theory
The Structure of Superspace
Some Notes on Multifunctions
Connected Sets with a Finite Disconnection Property
Applications of Collectionwise Hausdorff
On 0-Semimetrizable Spaces
Characterizing Topological Properties by Real Functions
λ Connectivity in the Plane
On Continuous Extenders
On a Notion of Weak Compactness in Non-Regular Spaces
Actions of Locally Compact Groups with Zero on Manifolds
Non-Continuous Retracts
The Nielsen Numbers and Fiberings
Maps of ANR's Determined on Null Sequence of AR's
Two Vietoris-Type Isomorphism Theorems in Borsuk's Theory of Shape, Concerning the Vietoris-Cech Homology and Borsuk's Fundamental Groups
Uniformly Pathwise Connected Continua
Several Problems of Continua Theory
A Characterization of Local Connectivity in Dendroids
A Survey of Embedding Theorems for Semigroups of Continuous Functions
The Hurewicz and Whitehead Theorems in Shape Theory
One-Dimensional Shape Properties and Three-Manifolds
Discontinuous Gδ Graphs
Some Basic Connectivity Properties of Whitney Map Inverses in C(X)
One-Point Compactifications of Q-Manifold Factors and Infinite Mapping Cylinders
Some Surprising Base Properties in Topology
Some Topological Questions Related to Open and Closed Graph Theorems
Completeness in Aronszajn Spaces
Projectives in the Category of Ordered Spaces
On the Productivity of Normality in Moore Spaces
A Metrization Theorem for Normal Moore Spaces
Extensions of Topologies by Locally Finite Collections
Some Approximation Theorems for Inverse Limits
The Metrizability of Normal Moore Spaces
Toward a Product Theory for Orthocompactness
Movable Continua and Shape Retracts
n-adic Decompositions and Retracts
Embedding Characterizations for Collectionwise Normality and Expandibility
Extending Maps from Products
Dense Subsemigroups of Semigroups of Continuous Selfmaps
Banach Spaces with Banach-Stone Property
Primitive Structures in General Topology
Recent Developments in Dendritic Spaces and Related Topics
Index
- Edition: 1
- Published: January 1, 1975
- No. of pages (eBook): 672
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483246871
- eBook ISBN: 9781483259116
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